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Finding the Fourth Proportional to 22,082.95, 33,114.03 and 6,497.47

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Solution

The fourth proportional to 22,082.95, 33,114.03 and 6,497.47 is: 9,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.95 : 33,114.03 = 6,497.47 : x
  2. Step 2: Convert to fraction form
    22,082.95/33,114.03 = 6,497.47/x
  3. Step 3: Cross multiply
    22,082.95x = 33,114.03 × 6,497.47
  4. Step 4: Simplify right side
    22,082.95x = 215,157,416.50
  5. Step 5: Solve for x
    x = 215,157,416.50/22,082.95
  6. Step 6: Final answer
    x = 9,743.15

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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.