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Finding the Fourth Proportional to 7,552.38, 10,418.09 and 7,017.82

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Solution

The fourth proportional to 7,552.38, 10,418.09 and 7,017.82 is: 9,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.38 : 10,418.09 = 7,017.82 : x
  2. Step 2: Convert to fraction form
    7,552.38/10,418.09 = 7,017.82/x
  3. Step 3: Cross multiply
    7,552.38x = 10,418.09 × 7,017.82
  4. Step 4: Simplify right side
    7,552.38x = 73,112,280.36
  5. Step 5: Solve for x
    x = 73,112,280.36/7,552.38
  6. Step 6: Final answer
    x = 9,680.69

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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.