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Finding the Fourth Proportional to 7,549.80, 10,423.80 and 5,778.24

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Solution

The fourth proportional to 7,549.80, 10,423.80 and 5,778.24 is: 7,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.80 : 10,423.80 = 5,778.24 : x
  2. Step 2: Convert to fraction form
    7,549.80/10,423.80 = 5,778.24/x
  3. Step 3: Cross multiply
    7,549.80x = 10,423.80 × 5,778.24
  4. Step 4: Simplify right side
    7,549.80x = 60,231,218.11
  5. Step 5: Solve for x
    x = 60,231,218.11/7,549.80
  6. Step 6: Final answer
    x = 7,977.86

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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.