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Finding the Fourth Proportional to 7,697.39, 10,667.03 and 7,549.74

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Solution

The fourth proportional to 7,697.39, 10,667.03 and 7,549.74 is: 10,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.39 : 10,667.03 = 7,549.74 : x
  2. Step 2: Convert to fraction form
    7,697.39/10,667.03 = 7,549.74/x
  3. Step 3: Cross multiply
    7,697.39x = 10,667.03 × 7,549.74
  4. Step 4: Simplify right side
    7,697.39x = 80,533,265.32
  5. Step 5: Solve for x
    x = 80,533,265.32/7,697.39
  6. Step 6: Final answer
    x = 10,462.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.