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Finding the Fourth Proportional to 6,837.90, 10,306.13 and 6,837.90

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Solution

The fourth proportional to 6,837.90, 10,306.13 and 6,837.90 is: 10,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.90 : 10,306.13 = 6,837.90 : x
  2. Step 2: Convert to fraction form
    6,837.90/10,306.13 = 6,837.90/x
  3. Step 3: Cross multiply
    6,837.90x = 10,306.13 × 6,837.90
  4. Step 4: Simplify right side
    6,837.90x = 70,472,252.14
  5. Step 5: Solve for x
    x = 70,472,252.14/6,837.90
  6. Step 6: Final answer
    x = 10,306.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.