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Finding the Fourth Proportional to 15,874.68, 21,906.54 and 9,585.96

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Solution

The fourth proportional to 15,874.68, 21,906.54 and 9,585.96 is: 13,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,874.68 : 21,906.54 = 9,585.96 : x
  2. Step 2: Convert to fraction form
    15,874.68/21,906.54 = 9,585.96/x
  3. Step 3: Cross multiply
    15,874.68x = 21,906.54 × 9,585.96
  4. Step 4: Simplify right side
    15,874.68x = 209,995,216.18
  5. Step 5: Solve for x
    x = 209,995,216.18/15,874.68
  6. Step 6: Final answer
    x = 13,228.31

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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.