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Finding the Fourth Proportional to 9,993.69, 13,782.39 and 6,453.18

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Solution

The fourth proportional to 9,993.69, 13,782.39 and 6,453.18 is: 8,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.69 : 13,782.39 = 6,453.18 : x
  2. Step 2: Convert to fraction form
    9,993.69/13,782.39 = 6,453.18/x
  3. Step 3: Cross multiply
    9,993.69x = 13,782.39 × 6,453.18
  4. Step 4: Simplify right side
    9,993.69x = 88,940,243.50
  5. Step 5: Solve for x
    x = 88,940,243.50/9,993.69
  6. Step 6: Final answer
    x = 8,899.64

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Half scale
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Double scale
Find fourth proportional to 9,994.69, 13,783.77 and 6,454.18
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.