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Finding the Fourth Proportional to 6,196.47, 9,239.57 and 6,119.97

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Solution

The fourth proportional to 6,196.47, 9,239.57 and 6,119.97 is: 9,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.47 : 9,239.57 = 6,119.97 : x
  2. Step 2: Convert to fraction form
    6,196.47/9,239.57 = 6,119.97/x
  3. Step 3: Cross multiply
    6,196.47x = 9,239.57 × 6,119.97
  4. Step 4: Simplify right side
    6,196.47x = 56,545,860.61
  5. Step 5: Solve for x
    x = 56,545,860.61/6,196.47
  6. Step 6: Final answer
    x = 9,125.50

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.