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Finding the Fourth Proportional to 8,471.96, 12,686.06 and 5,847.56

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Solution

The fourth proportional to 8,471.96, 12,686.06 and 5,847.56 is: 8,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.96 : 12,686.06 = 5,847.56 : x
  2. Step 2: Convert to fraction form
    8,471.96/12,686.06 = 5,847.56/x
  3. Step 3: Cross multiply
    8,471.96x = 12,686.06 × 5,847.56
  4. Step 4: Simplify right side
    8,471.96x = 74,182,497.01
  5. Step 5: Solve for x
    x = 74,182,497.01/8,471.96
  6. Step 6: Final answer
    x = 8,756.24

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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.