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Finding the Fourth Proportional to 10,033.82, 15,019.16 and 6,895.47

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Solution

The fourth proportional to 10,033.82, 15,019.16 and 6,895.47 is: 10,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.82 : 15,019.16 = 6,895.47 : x
  2. Step 2: Convert to fraction form
    10,033.82/15,019.16 = 6,895.47/x
  3. Step 3: Cross multiply
    10,033.82x = 15,019.16 × 6,895.47
  4. Step 4: Simplify right side
    10,033.82x = 103,564,132.73
  5. Step 5: Solve for x
    x = 103,564,132.73/10,033.82
  6. Step 6: Final answer
    x = 10,321.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.