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Finding the Fourth Proportional to 15,082.76, 20,814.91 and 9,420.86

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Solution

The fourth proportional to 15,082.76, 20,814.91 and 9,420.86 is: 13,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,082.76 : 20,814.91 = 9,420.86 : x
  2. Step 2: Convert to fraction form
    15,082.76/20,814.91 = 9,420.86/x
  3. Step 3: Cross multiply
    15,082.76x = 20,814.91 × 9,420.86
  4. Step 4: Simplify right side
    15,082.76x = 196,094,248.95
  5. Step 5: Solve for x
    x = 196,094,248.95/15,082.76
  6. Step 6: Final answer
    x = 13,001.22

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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.