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Finding the Fourth Proportional to 6,494.14, 9,752.14 and 6,443.10

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Solution

The fourth proportional to 6,494.14, 9,752.14 and 6,443.10 is: 9,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.14 : 9,752.14 = 6,443.10 : x
  2. Step 2: Convert to fraction form
    6,494.14/9,752.14 = 6,443.10/x
  3. Step 3: Cross multiply
    6,494.14x = 9,752.14 × 6,443.10
  4. Step 4: Simplify right side
    6,494.14x = 62,834,013.23
  5. Step 5: Solve for x
    x = 62,834,013.23/6,494.14
  6. Step 6: Final answer
    x = 9,675.49

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Double scale
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Similar ratio
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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.