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Finding the Fourth Proportional to 6,838.97, 10,245.06 and 6,095.13

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Solution

The fourth proportional to 6,838.97, 10,245.06 and 6,095.13 is: 9,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.97 : 10,245.06 = 6,095.13 : x
  2. Step 2: Convert to fraction form
    6,838.97/10,245.06 = 6,095.13/x
  3. Step 3: Cross multiply
    6,838.97x = 10,245.06 × 6,095.13
  4. Step 4: Simplify right side
    6,838.97x = 62,444,974.62
  5. Step 5: Solve for x
    x = 62,444,974.62/6,838.97
  6. Step 6: Final answer
    x = 9,130.76

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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.