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Finding the Fourth Proportional to 15,744.64, 21,727.64 and 8,671.08

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Solution

The fourth proportional to 15,744.64, 21,727.64 and 8,671.08 is: 11,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.64 : 21,727.64 = 8,671.08 : x
  2. Step 2: Convert to fraction form
    15,744.64/21,727.64 = 8,671.08/x
  3. Step 3: Cross multiply
    15,744.64x = 21,727.64 × 8,671.08
  4. Step 4: Simplify right side
    15,744.64x = 188,402,104.65
  5. Step 5: Solve for x
    x = 188,402,104.65/15,744.64
  6. Step 6: Final answer
    x = 11,966.11

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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.