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Finding the Fourth Proportional to 7,176.91, 9,904.14 and 4,033.12

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Solution

The fourth proportional to 7,176.91, 9,904.14 and 4,033.12 is: 5,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.91 : 9,904.14 = 4,033.12 : x
  2. Step 2: Convert to fraction form
    7,176.91/9,904.14 = 4,033.12/x
  3. Step 3: Cross multiply
    7,176.91x = 9,904.14 × 4,033.12
  4. Step 4: Simplify right side
    7,176.91x = 39,944,585.12
  5. Step 5: Solve for x
    x = 39,944,585.12/7,176.91
  6. Step 6: Final answer
    x = 5,565.71

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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.