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Finding the Fourth Proportional to 10,686.48, 14,746.07 and 5,906.13

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Solution

The fourth proportional to 10,686.48, 14,746.07 and 5,906.13 is: 8,149.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.48 : 14,746.07 = 5,906.13 : x
  2. Step 2: Convert to fraction form
    10,686.48/14,746.07 = 5,906.13/x
  3. Step 3: Cross multiply
    10,686.48x = 14,746.07 × 5,906.13
  4. Step 4: Simplify right side
    10,686.48x = 87,092,206.41
  5. Step 5: Solve for x
    x = 87,092,206.41/10,686.48
  6. Step 6: Final answer
    x = 8,149.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.