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Finding the Fourth Proportional to 9,124.53, 12,591.86 and 4,932.78

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Solution

The fourth proportional to 9,124.53, 12,591.86 and 4,932.78 is: 6,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.53 : 12,591.86 = 4,932.78 : x
  2. Step 2: Convert to fraction form
    9,124.53/12,591.86 = 4,932.78/x
  3. Step 3: Cross multiply
    9,124.53x = 12,591.86 × 4,932.78
  4. Step 4: Simplify right side
    9,124.53x = 62,112,875.17
  5. Step 5: Solve for x
    x = 62,112,875.17/9,124.53
  6. Step 6: Final answer
    x = 6,807.24

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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.