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Finding the Fourth Proportional to 7,051.92, 9,731.82 and 3,908.28

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Solution

The fourth proportional to 7,051.92, 9,731.82 and 3,908.28 is: 5,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.92 : 9,731.82 = 3,908.28 : x
  2. Step 2: Convert to fraction form
    7,051.92/9,731.82 = 3,908.28/x
  3. Step 3: Cross multiply
    7,051.92x = 9,731.82 × 3,908.28
  4. Step 4: Simplify right side
    7,051.92x = 38,034,677.47
  5. Step 5: Solve for x
    x = 38,034,677.47/7,051.92
  6. Step 6: Final answer
    x = 5,393.52

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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.