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Finding the Fourth Proportional to 15,767.32, 21,759 and 8,693.62

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Solution

The fourth proportional to 15,767.32, 21,759 and 8,693.62 is: 11,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,767.32 : 21,759 = 8,693.62 : x
  2. Step 2: Convert to fraction form
    15,767.32/21,759 = 8,693.62/x
  3. Step 3: Cross multiply
    15,767.32x = 21,759 × 8,693.62
  4. Step 4: Simplify right side
    15,767.32x = 189,164,477.58
  5. Step 5: Solve for x
    x = 189,164,477.58/15,767.32
  6. Step 6: Final answer
    x = 11,997.25

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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.