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Finding the Fourth Proportional to 10,756.61, 14,843.04 and 6,282.97

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Solution

The fourth proportional to 10,756.61, 14,843.04 and 6,282.97 is: 8,669.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.61 : 14,843.04 = 6,282.97 : x
  2. Step 2: Convert to fraction form
    10,756.61/14,843.04 = 6,282.97/x
  3. Step 3: Cross multiply
    10,756.61x = 14,843.04 × 6,282.97
  4. Step 4: Simplify right side
    10,756.61x = 93,258,397.85
  5. Step 5: Solve for x
    x = 93,258,397.85/10,756.61
  6. Step 6: Final answer
    x = 8,669.87

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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.