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Finding the Fourth Proportional to 13,103.01, 18,082.54 and 7,437.65

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Solution

The fourth proportional to 13,103.01, 18,082.54 and 7,437.65 is: 10,264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.01 : 18,082.54 = 7,437.65 : x
  2. Step 2: Convert to fraction form
    13,103.01/18,082.54 = 7,437.65/x
  3. Step 3: Cross multiply
    13,103.01x = 18,082.54 × 7,437.65
  4. Step 4: Simplify right side
    13,103.01x = 134,491,522.52
  5. Step 5: Solve for x
    x = 134,491,522.52/13,103.01
  6. Step 6: Final answer
    x = 10,264.17

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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.