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Finding the Fourth Proportional to 17,511.55, 24,165 and 9,956.84

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Solution

The fourth proportional to 17,511.55, 24,165 and 9,956.84 is: 13,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,511.55 : 24,165 = 9,956.84 : x
  2. Step 2: Convert to fraction form
    17,511.55/24,165 = 9,956.84/x
  3. Step 3: Cross multiply
    17,511.55x = 24,165 × 9,956.84
  4. Step 4: Simplify right side
    17,511.55x = 240,607,038.60
  5. Step 5: Solve for x
    x = 240,607,038.60/17,511.55
  6. Step 6: Final answer
    x = 13,739.91

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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.