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Finding the Fourth Proportional to 9,891.19, 13,648.12 and 5,698.63

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Solution

The fourth proportional to 9,891.19, 13,648.12 and 5,698.63 is: 7,863.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.19 : 13,648.12 = 5,698.63 : x
  2. Step 2: Convert to fraction form
    9,891.19/13,648.12 = 5,698.63/x
  3. Step 3: Cross multiply
    9,891.19x = 13,648.12 × 5,698.63
  4. Step 4: Simplify right side
    9,891.19x = 77,775,586.08
  5. Step 5: Solve for x
    x = 77,775,586.08/9,891.19
  6. Step 6: Final answer
    x = 7,863.12

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Half scale
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Double scale
Find fourth proportional to 9,892.19, 13,649.50 and 5,699.63
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.