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Finding the Fourth Proportional to 7,001.97, 9,662.92 and 4,018.34

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Solution

The fourth proportional to 7,001.97, 9,662.92 and 4,018.34 is: 5,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.97 : 9,662.92 = 4,018.34 : x
  2. Step 2: Convert to fraction form
    7,001.97/9,662.92 = 4,018.34/x
  3. Step 3: Cross multiply
    7,001.97x = 9,662.92 × 4,018.34
  4. Step 4: Simplify right side
    7,001.97x = 38,828,849.64
  5. Step 5: Solve for x
    x = 38,828,849.64/7,001.97
  6. Step 6: Final answer
    x = 5,545.42

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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.