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Finding the Fourth Proportional to 7,001.69, 9,662.01 and 4,017.32

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Solution

The fourth proportional to 7,001.69, 9,662.01 and 4,017.32 is: 5,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.69 : 9,662.01 = 4,017.32 : x
  2. Step 2: Convert to fraction form
    7,001.69/9,662.01 = 4,017.32/x
  3. Step 3: Cross multiply
    7,001.69x = 9,662.01 × 4,017.32
  4. Step 4: Simplify right side
    7,001.69x = 38,815,337.70
  5. Step 5: Solve for x
    x = 38,815,337.70/7,001.69
  6. Step 6: Final answer
    x = 5,543.71

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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.