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Finding the Fourth Proportional to 9,920.97, 14,894.12 and 6,178.48

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Solution

The fourth proportional to 9,920.97, 14,894.12 and 6,178.48 is: 9,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.97 : 14,894.12 = 6,178.48 : x
  2. Step 2: Convert to fraction form
    9,920.97/14,894.12 = 6,178.48/x
  3. Step 3: Cross multiply
    9,920.97x = 14,894.12 × 6,178.48
  4. Step 4: Simplify right side
    9,920.97x = 92,023,000.75
  5. Step 5: Solve for x
    x = 92,023,000.75/9,920.97
  6. Step 6: Final answer
    x = 9,275.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.