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Finding the Fourth Proportional to 8,437.72, 12,657.12 and 3,507.76

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Solution

The fourth proportional to 8,437.72, 12,657.12 and 3,507.76 is: 5,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.72 : 12,657.12 = 3,507.76 : x
  2. Step 2: Convert to fraction form
    8,437.72/12,657.12 = 3,507.76/x
  3. Step 3: Cross multiply
    8,437.72x = 12,657.12 × 3,507.76
  4. Step 4: Simplify right side
    8,437.72x = 44,398,139.25
  5. Step 5: Solve for x
    x = 44,398,139.25/8,437.72
  6. Step 6: Final answer
    x = 5,261.86

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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.