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Finding the Fourth Proportional to 10,489.56, 15,751.06 and 6,110.20

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Solution

The fourth proportional to 10,489.56, 15,751.06 and 6,110.20 is: 9,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.56 : 15,751.06 = 6,110.20 : x
  2. Step 2: Convert to fraction form
    10,489.56/15,751.06 = 6,110.20/x
  3. Step 3: Cross multiply
    10,489.56x = 15,751.06 × 6,110.20
  4. Step 4: Simplify right side
    10,489.56x = 96,242,126.81
  5. Step 5: Solve for x
    x = 96,242,126.81/10,489.56
  6. Step 6: Final answer
    x = 9,175.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.