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Finding the Fourth Proportional to 10,882.08, 15,012 and 6,683.04

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Solution

The fourth proportional to 10,882.08, 15,012 and 6,683.04 is: 9,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.08 : 15,012 = 6,683.04 : x
  2. Step 2: Convert to fraction form
    10,882.08/15,012 = 6,683.04/x
  3. Step 3: Cross multiply
    10,882.08x = 15,012 × 6,683.04
  4. Step 4: Simplify right side
    10,882.08x = 100,325,796.48
  5. Step 5: Solve for x
    x = 100,325,796.48/10,882.08
  6. Step 6: Final answer
    x = 9,219.36

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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.