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Finding the Fourth Proportional to 37,393.76, 56,084.16 and 9,691.76

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Solution

The fourth proportional to 37,393.76, 56,084.16 and 9,691.76 is: 14,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,393.76 : 56,084.16 = 9,691.76 : x
  2. Step 2: Convert to fraction form
    37,393.76/56,084.16 = 9,691.76/x
  3. Step 3: Cross multiply
    37,393.76x = 56,084.16 × 9,691.76
  4. Step 4: Simplify right side
    37,393.76x = 543,554,218.52
  5. Step 5: Solve for x
    x = 543,554,218.52/37,393.76
  6. Step 6: Final answer
    x = 14,535.96

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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.