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Finding the Fourth Proportional to 9,227.28, 13,787.43 and 7,565.16

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Solution

The fourth proportional to 9,227.28, 13,787.43 and 7,565.16 is: 11,303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.28 : 13,787.43 = 7,565.16 : x
  2. Step 2: Convert to fraction form
    9,227.28/13,787.43 = 7,565.16/x
  3. Step 3: Cross multiply
    9,227.28x = 13,787.43 × 7,565.16
  4. Step 4: Simplify right side
    9,227.28x = 104,304,113.94
  5. Step 5: Solve for x
    x = 104,304,113.94/9,227.28
  6. Step 6: Final answer
    x = 11,303.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.