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Finding the Fourth Proportional to 13,491.10, 18,617.94 and 7,442.04

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Solution

The fourth proportional to 13,491.10, 18,617.94 and 7,442.04 is: 10,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491.10 : 18,617.94 = 7,442.04 : x
  2. Step 2: Convert to fraction form
    13,491.10/18,617.94 = 7,442.04/x
  3. Step 3: Cross multiply
    13,491.10x = 18,617.94 × 7,442.04
  4. Step 4: Simplify right side
    13,491.10x = 138,555,454.20
  5. Step 5: Solve for x
    x = 138,555,454.20/13,491.10
  6. Step 6: Final answer
    x = 10,270.14

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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.