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Finding the Fourth Proportional to 8,416.78, 12,625.17 and 4,713.46

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Solution

The fourth proportional to 8,416.78, 12,625.17 and 4,713.46 is: 7,070.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.78 : 12,625.17 = 4,713.46 : x
  2. Step 2: Convert to fraction form
    8,416.78/12,625.17 = 4,713.46/x
  3. Step 3: Cross multiply
    8,416.78x = 12,625.17 × 4,713.46
  4. Step 4: Simplify right side
    8,416.78x = 59,508,233.79
  5. Step 5: Solve for x
    x = 59,508,233.79/8,416.78
  6. Step 6: Final answer
    x = 7,070.19

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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.