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Finding the Fourth Proportional to 17,546.40, 24,213 and 9,587.04

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Solution

The fourth proportional to 17,546.40, 24,213 and 9,587.04 is: 13,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.40 : 24,213 = 9,587.04 : x
  2. Step 2: Convert to fraction form
    17,546.40/24,213 = 9,587.04/x
  3. Step 3: Cross multiply
    17,546.40x = 24,213 × 9,587.04
  4. Step 4: Simplify right side
    17,546.40x = 232,130,999.52
  5. Step 5: Solve for x
    x = 232,130,999.52/17,546.40
  6. Step 6: Final answer
    x = 13,229.55

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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.