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Finding the Fourth Proportional to 28,497.47, 42,747.08 and 9,777.25

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Solution

The fourth proportional to 28,497.47, 42,747.08 and 9,777.25 is: 14,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,497.47 : 42,747.08 = 9,777.25 : x
  2. Step 2: Convert to fraction form
    28,497.47/42,747.08 = 9,777.25/x
  3. Step 3: Cross multiply
    28,497.47x = 42,747.08 × 9,777.25
  4. Step 4: Simplify right side
    28,497.47x = 417,948,787.17
  5. Step 5: Solve for x
    x = 417,948,787.17/28,497.47
  6. Step 6: Final answer
    x = 14,666.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.