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Finding the Fourth Proportional to 15,397.83, 21,249 and 8,324.25

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Solution

The fourth proportional to 15,397.83, 21,249 and 8,324.25 is: 11,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,397.83 : 21,249 = 8,324.25 : x
  2. Step 2: Convert to fraction form
    15,397.83/21,249 = 8,324.25/x
  3. Step 3: Cross multiply
    15,397.83x = 21,249 × 8,324.25
  4. Step 4: Simplify right side
    15,397.83x = 176,881,988.25
  5. Step 5: Solve for x
    x = 176,881,988.25/15,397.83
  6. Step 6: Final answer
    x = 11,487.46

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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.