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Finding the Fourth Proportional to 10,468.40, 14,446.40 and 5,752.80

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Solution

The fourth proportional to 10,468.40, 14,446.40 and 5,752.80 is: 7,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.40 : 14,446.40 = 5,752.80 : x
  2. Step 2: Convert to fraction form
    10,468.40/14,446.40 = 5,752.80/x
  3. Step 3: Cross multiply
    10,468.40x = 14,446.40 × 5,752.80
  4. Step 4: Simplify right side
    10,468.40x = 83,107,249.92
  5. Step 5: Solve for x
    x = 83,107,249.92/10,468.40
  6. Step 6: Final answer
    x = 7,938.87

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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.