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Finding the Fourth Proportional to 9,167.94, 12,651.76 and 4,976.18

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Solution

The fourth proportional to 9,167.94, 12,651.76 and 4,976.18 is: 6,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.94 : 12,651.76 = 4,976.18 : x
  2. Step 2: Convert to fraction form
    9,167.94/12,651.76 = 4,976.18/x
  3. Step 3: Cross multiply
    9,167.94x = 12,651.76 × 4,976.18
  4. Step 4: Simplify right side
    9,167.94x = 62,957,435.08
  5. Step 5: Solve for x
    x = 62,957,435.08/9,167.94
  6. Step 6: Final answer
    x = 6,867.13

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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.