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Finding the Fourth Proportional to 21,616.08, 32,425 and 9,767.58

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Solution

The fourth proportional to 21,616.08, 32,425 and 9,767.58 is: 14,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.08 : 32,425 = 9,767.58 : x
  2. Step 2: Convert to fraction form
    21,616.08/32,425 = 9,767.58/x
  3. Step 3: Cross multiply
    21,616.08x = 32,425 × 9,767.58
  4. Step 4: Simplify right side
    21,616.08x = 316,713,781.50
  5. Step 5: Solve for x
    x = 316,713,781.50/21,616.08
  6. Step 6: Final answer
    x = 14,651.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.