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Finding the Fourth Proportional to 15,587.08, 21,508 and 9,213.96

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Solution

The fourth proportional to 15,587.08, 21,508 and 9,213.96 is: 12,713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,587.08 : 21,508 = 9,213.96 : x
  2. Step 2: Convert to fraction form
    15,587.08/21,508 = 9,213.96/x
  3. Step 3: Cross multiply
    15,587.08x = 21,508 × 9,213.96
  4. Step 4: Simplify right side
    15,587.08x = 198,173,851.68
  5. Step 5: Solve for x
    x = 198,173,851.68/15,587.08
  6. Step 6: Final answer
    x = 12,713.98

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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.