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Finding the Fourth Proportional to 11,146.44, 15,382 and 6,110.68

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Solution

The fourth proportional to 11,146.44, 15,382 and 6,110.68 is: 8,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.44 : 15,382 = 6,110.68 : x
  2. Step 2: Convert to fraction form
    11,146.44/15,382 = 6,110.68/x
  3. Step 3: Cross multiply
    11,146.44x = 15,382 × 6,110.68
  4. Step 4: Simplify right side
    11,146.44x = 93,994,479.76
  5. Step 5: Solve for x
    x = 93,994,479.76/11,146.44
  6. Step 6: Final answer
    x = 8,432.69

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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.