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Finding the Fourth Proportional to 7,549.44, 10,423.80 and 6,499.68

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Solution

The fourth proportional to 7,549.44, 10,423.80 and 6,499.68 is: 8,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.44 : 10,423.80 = 6,499.68 : x
  2. Step 2: Convert to fraction form
    7,549.44/10,423.80 = 6,499.68/x
  3. Step 3: Cross multiply
    7,549.44x = 10,423.80 × 6,499.68
  4. Step 4: Simplify right side
    7,549.44x = 67,751,364.38
  5. Step 5: Solve for x
    x = 67,751,364.38/7,549.44
  6. Step 6: Final answer
    x = 8,974.36

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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.