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Finding the Fourth Proportional to 10,416.92, 14,375.28 and 5,701.28

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Solution

The fourth proportional to 10,416.92, 14,375.28 and 5,701.28 is: 7,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.92 : 14,375.28 = 5,701.28 : x
  2. Step 2: Convert to fraction form
    10,416.92/14,375.28 = 5,701.28/x
  3. Step 3: Cross multiply
    10,416.92x = 14,375.28 × 5,701.28
  4. Step 4: Simplify right side
    10,416.92x = 81,957,496.36
  5. Step 5: Solve for x
    x = 81,957,496.36/10,416.92
  6. Step 6: Final answer
    x = 7,867.73

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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.