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Finding the Fourth Proportional to 7,549.62, 11,326.20 and 7,424.10

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Solution

The fourth proportional to 7,549.62, 11,326.20 and 7,424.10 is: 11,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.62 : 11,326.20 = 7,424.10 : x
  2. Step 2: Convert to fraction form
    7,549.62/11,326.20 = 7,424.10/x
  3. Step 3: Cross multiply
    7,549.62x = 11,326.20 × 7,424.10
  4. Step 4: Simplify right side
    7,549.62x = 84,086,841.42
  5. Step 5: Solve for x
    x = 84,086,841.42/7,549.62
  6. Step 6: Final answer
    x = 11,137.89

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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.