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Finding the Fourth Proportional to 17,567, 24,242.34 and 9,909.70

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Solution

The fourth proportional to 17,567, 24,242.34 and 9,909.70 is: 13,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567 : 24,242.34 = 9,909.70 : x
  2. Step 2: Convert to fraction form
    17,567/24,242.34 = 9,909.70/x
  3. Step 3: Cross multiply
    17,567x = 24,242.34 × 9,909.70
  4. Step 4: Simplify right side
    17,567x = 240,234,316.70
  5. Step 5: Solve for x
    x = 240,234,316.70/17,567
  6. Step 6: Final answer
    x = 13,675.32

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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.