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Finding the Fourth Proportional to 17,491.40, 24,138.65 and 9,534.14

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Solution

The fourth proportional to 17,491.40, 24,138.65 and 9,534.14 is: 13,157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.40 : 24,138.65 = 9,534.14 : x
  2. Step 2: Convert to fraction form
    17,491.40/24,138.65 = 9,534.14/x
  3. Step 3: Cross multiply
    17,491.40x = 24,138.65 × 9,534.14
  4. Step 4: Simplify right side
    17,491.40x = 230,141,281.19
  5. Step 5: Solve for x
    x = 230,141,281.19/17,491.40
  6. Step 6: Final answer
    x = 13,157.39

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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.