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Finding the Fourth Proportional to 10,465.45, 15,700.17 and 3,447.49

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Solution

The fourth proportional to 10,465.45, 15,700.17 and 3,447.49 is: 5,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.45 : 15,700.17 = 3,447.49 : x
  2. Step 2: Convert to fraction form
    10,465.45/15,700.17 = 3,447.49/x
  3. Step 3: Cross multiply
    10,465.45x = 15,700.17 × 3,447.49
  4. Step 4: Simplify right side
    10,465.45x = 54,126,218.32
  5. Step 5: Solve for x
    x = 54,126,218.32/10,465.45
  6. Step 6: Final answer
    x = 5,171.90

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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.