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Finding the Fourth Proportional to 9,752.88, 13,459.17 and 5,772.54

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Solution

The fourth proportional to 9,752.88, 13,459.17 and 5,772.54 is: 7,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.88 : 13,459.17 = 5,772.54 : x
  2. Step 2: Convert to fraction form
    9,752.88/13,459.17 = 5,772.54/x
  3. Step 3: Cross multiply
    9,752.88x = 13,459.17 × 5,772.54
  4. Step 4: Simplify right side
    9,752.88x = 77,693,597.19
  5. Step 5: Solve for x
    x = 77,693,597.19/9,752.88
  6. Step 6: Final answer
    x = 7,966.22

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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.