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Finding the Fourth Proportional to 10,049.67, 13,870.78 and 6,506.73

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Solution

The fourth proportional to 10,049.67, 13,870.78 and 6,506.73 is: 8,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.67 : 13,870.78 = 6,506.73 : x
  2. Step 2: Convert to fraction form
    10,049.67/13,870.78 = 6,506.73/x
  3. Step 3: Cross multiply
    10,049.67x = 13,870.78 × 6,506.73
  4. Step 4: Simplify right side
    10,049.67x = 90,253,404.08
  5. Step 5: Solve for x
    x = 90,253,404.08/10,049.67
  6. Step 6: Final answer
    x = 8,980.73

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Half scale
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Double scale
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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.