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Finding the Fourth Proportional to 10,706.80, 14,774.40 and 5,990.92

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Solution

The fourth proportional to 10,706.80, 14,774.40 and 5,990.92 is: 8,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.80 : 14,774.40 = 5,990.92 : x
  2. Step 2: Convert to fraction form
    10,706.80/14,774.40 = 5,990.92/x
  3. Step 3: Cross multiply
    10,706.80x = 14,774.40 × 5,990.92
  4. Step 4: Simplify right side
    10,706.80x = 88,512,248.45
  5. Step 5: Solve for x
    x = 88,512,248.45/10,706.80
  6. Step 6: Final answer
    x = 8,266.92

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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.