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Finding the Fourth Proportional to 9,797.69, 13,524.69 and 6,815.25

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Solution

The fourth proportional to 9,797.69, 13,524.69 and 6,815.25 is: 9,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.69 : 13,524.69 = 6,815.25 : x
  2. Step 2: Convert to fraction form
    9,797.69/13,524.69 = 6,815.25/x
  3. Step 3: Cross multiply
    9,797.69x = 13,524.69 × 6,815.25
  4. Step 4: Simplify right side
    9,797.69x = 92,174,126.35
  5. Step 5: Solve for x
    x = 92,174,126.35/9,797.69
  6. Step 6: Final answer
    x = 9,407.74

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Half scale
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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.