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Finding the Fourth Proportional to 6,844.81, 9,437.27 and 5,712.11

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Solution

The fourth proportional to 6,844.81, 9,437.27 and 5,712.11 is: 7,875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.81 : 9,437.27 = 5,712.11 : x
  2. Step 2: Convert to fraction form
    6,844.81/9,437.27 = 5,712.11/x
  3. Step 3: Cross multiply
    6,844.81x = 9,437.27 × 5,712.11
  4. Step 4: Simplify right side
    6,844.81x = 53,906,691.43
  5. Step 5: Solve for x
    x = 53,906,691.43/6,844.81
  6. Step 6: Final answer
    x = 7,875.56

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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.