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Finding the Fourth Proportional to 10,729.66, 14,806.08 and 6,013.30

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Solution

The fourth proportional to 10,729.66, 14,806.08 and 6,013.30 is: 8,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.66 : 14,806.08 = 6,013.30 : x
  2. Step 2: Convert to fraction form
    10,729.66/14,806.08 = 6,013.30/x
  3. Step 3: Cross multiply
    10,729.66x = 14,806.08 × 6,013.30
  4. Step 4: Simplify right side
    10,729.66x = 89,033,400.86
  5. Step 5: Solve for x
    x = 89,033,400.86/10,729.66
  6. Step 6: Final answer
    x = 8,297.88

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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.