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Finding the Fourth Proportional to 10,468.68, 14,447.22 and 5,753

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Solution

The fourth proportional to 10,468.68, 14,447.22 and 5,753 is: 7,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.68 : 14,447.22 = 5,753 : x
  2. Step 2: Convert to fraction form
    10,468.68/14,447.22 = 5,753/x
  3. Step 3: Cross multiply
    10,468.68x = 14,447.22 × 5,753
  4. Step 4: Simplify right side
    10,468.68x = 83,114,856.66
  5. Step 5: Solve for x
    x = 83,114,856.66/10,468.68
  6. Step 6: Final answer
    x = 7,939.38

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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.