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Finding the Fourth Proportional to 8,471.66, 12,710.32 and 4,088.54

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Solution

The fourth proportional to 8,471.66, 12,710.32 and 4,088.54 is: 6,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.66 : 12,710.32 = 4,088.54 : x
  2. Step 2: Convert to fraction form
    8,471.66/12,710.32 = 4,088.54/x
  3. Step 3: Cross multiply
    8,471.66x = 12,710.32 × 4,088.54
  4. Step 4: Simplify right side
    8,471.66x = 51,966,673.29
  5. Step 5: Solve for x
    x = 51,966,673.29/8,471.66
  6. Step 6: Final answer
    x = 6,134.18

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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.