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Finding the Fourth Proportional to 17,242.14, 25,865.61 and 6,145.53

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Solution

The fourth proportional to 17,242.14, 25,865.61 and 6,145.53 is: 9,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242.14 : 25,865.61 = 6,145.53 : x
  2. Step 2: Convert to fraction form
    17,242.14/25,865.61 = 6,145.53/x
  3. Step 3: Cross multiply
    17,242.14x = 25,865.61 × 6,145.53
  4. Step 4: Simplify right side
    17,242.14x = 158,957,882.22
  5. Step 5: Solve for x
    x = 158,957,882.22/17,242.14
  6. Step 6: Final answer
    x = 9,219.15

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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.