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Finding the Fourth Proportional to 5,497.49, 7,586.49 and 3,139.62

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Solution

The fourth proportional to 5,497.49, 7,586.49 and 3,139.62 is: 4,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.49 : 7,586.49 = 3,139.62 : x
  2. Step 2: Convert to fraction form
    5,497.49/7,586.49 = 3,139.62/x
  3. Step 3: Cross multiply
    5,497.49x = 7,586.49 × 3,139.62
  4. Step 4: Simplify right side
    5,497.49x = 23,818,695.73
  5. Step 5: Solve for x
    x = 23,818,695.73/5,497.49
  6. Step 6: Final answer
    x = 4,332.65

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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.