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Finding the Fourth Proportional to 11,951.95, 16,494.08 and 6,574.61

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Solution

The fourth proportional to 11,951.95, 16,494.08 and 6,574.61 is: 9,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.95 : 16,494.08 = 6,574.61 : x
  2. Step 2: Convert to fraction form
    11,951.95/16,494.08 = 6,574.61/x
  3. Step 3: Cross multiply
    11,951.95x = 16,494.08 × 6,574.61
  4. Step 4: Simplify right side
    11,951.95x = 108,442,060.84
  5. Step 5: Solve for x
    x = 108,442,060.84/11,951.95
  6. Step 6: Final answer
    x = 9,073.17

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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.