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Finding the Fourth Proportional to 15,705.68, 21,673.36 and 8,631.44

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Solution

The fourth proportional to 15,705.68, 21,673.36 and 8,631.44 is: 11,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.68 : 21,673.36 = 8,631.44 : x
  2. Step 2: Convert to fraction form
    15,705.68/21,673.36 = 8,631.44/x
  3. Step 3: Cross multiply
    15,705.68x = 21,673.36 × 8,631.44
  4. Step 4: Simplify right side
    15,705.68x = 187,072,306.44
  5. Step 5: Solve for x
    x = 187,072,306.44/15,705.68
  6. Step 6: Final answer
    x = 11,911.12

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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.