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Finding the Fourth Proportional to 15,772.42, 21,765 and 9,059.14

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Solution

The fourth proportional to 15,772.42, 21,765 and 9,059.14 is: 12,501.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.42 : 21,765 = 9,059.14 : x
  2. Step 2: Convert to fraction form
    15,772.42/21,765 = 9,059.14/x
  3. Step 3: Cross multiply
    15,772.42x = 21,765 × 9,059.14
  4. Step 4: Simplify right side
    15,772.42x = 197,172,182.10
  5. Step 5: Solve for x
    x = 197,172,182.10/15,772.42
  6. Step 6: Final answer
    x = 12,501.07

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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.