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Finding the Fourth Proportional to 7,155, 9,874.04 and 4,011.39

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Solution

The fourth proportional to 7,155, 9,874.04 and 4,011.39 is: 5,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155 : 9,874.04 = 4,011.39 : x
  2. Step 2: Convert to fraction form
    7,155/9,874.04 = 4,011.39/x
  3. Step 3: Cross multiply
    7,155x = 9,874.04 × 4,011.39
  4. Step 4: Simplify right side
    7,155x = 39,608,605.26
  5. Step 5: Solve for x
    x = 39,608,605.26/7,155
  6. Step 6: Final answer
    x = 5,535.79

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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.