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Finding the Fourth Proportional to 7,046.88, 9,727.92 and 5,284.32

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Solution

The fourth proportional to 7,046.88, 9,727.92 and 5,284.32 is: 7,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.88 : 9,727.92 = 5,284.32 : x
  2. Step 2: Convert to fraction form
    7,046.88/9,727.92 = 5,284.32/x
  3. Step 3: Cross multiply
    7,046.88x = 9,727.92 × 5,284.32
  4. Step 4: Simplify right side
    7,046.88x = 51,405,442.21
  5. Step 5: Solve for x
    x = 51,405,442.21/7,046.88
  6. Step 6: Final answer
    x = 7,294.78

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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.