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Finding the Fourth Proportional to 10,324.80, 14,248.02 and 5,609.16

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Solution

The fourth proportional to 10,324.80, 14,248.02 and 5,609.16 is: 7,740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.80 : 14,248.02 = 5,609.16 : x
  2. Step 2: Convert to fraction form
    10,324.80/14,248.02 = 5,609.16/x
  3. Step 3: Cross multiply
    10,324.80x = 14,248.02 × 5,609.16
  4. Step 4: Simplify right side
    10,324.80x = 79,919,423.86
  5. Step 5: Solve for x
    x = 79,919,423.86/10,324.80
  6. Step 6: Final answer
    x = 7,740.53

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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.