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Finding the Fourth Proportional to 7,497, 10,350.66 and 6,709.68

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Solution

The fourth proportional to 7,497, 10,350.66 and 6,709.68 is: 9,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497 : 10,350.66 = 6,709.68 : x
  2. Step 2: Convert to fraction form
    7,497/10,350.66 = 6,709.68/x
  3. Step 3: Cross multiply
    7,497x = 10,350.66 × 6,709.68
  4. Step 4: Simplify right side
    7,497x = 69,449,616.39
  5. Step 5: Solve for x
    x = 69,449,616.39/7,497
  6. Step 6: Final answer
    x = 9,263.65

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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.