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Finding the Fourth Proportional to 7,045.92, 9,727.92 and 4,394.40

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Solution

The fourth proportional to 7,045.92, 9,727.92 and 4,394.40 is: 6,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.92 : 9,727.92 = 4,394.40 : x
  2. Step 2: Convert to fraction form
    7,045.92/9,727.92 = 4,394.40/x
  3. Step 3: Cross multiply
    7,045.92x = 9,727.92 × 4,394.40
  4. Step 4: Simplify right side
    7,045.92x = 42,748,371.65
  5. Step 5: Solve for x
    x = 42,748,371.65/7,045.92
  6. Step 6: Final answer
    x = 6,067.11

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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.