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Finding the Fourth Proportional to 8,281.56, 12,407.92 and 6,903.76

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Solution

The fourth proportional to 8,281.56, 12,407.92 and 6,903.76 is: 10,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.56 : 12,407.92 = 6,903.76 : x
  2. Step 2: Convert to fraction form
    8,281.56/12,407.92 = 6,903.76/x
  3. Step 3: Cross multiply
    8,281.56x = 12,407.92 × 6,903.76
  4. Step 4: Simplify right side
    8,281.56x = 85,661,301.78
  5. Step 5: Solve for x
    x = 85,661,301.78/8,281.56
  6. Step 6: Final answer
    x = 10,343.62

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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.