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Finding the Fourth Proportional to 9,497.67, 14,244.48 and 6,716.49

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Solution

The fourth proportional to 9,497.67, 14,244.48 and 6,716.49 is: 10,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.67 : 14,244.48 = 6,716.49 : x
  2. Step 2: Convert to fraction form
    9,497.67/14,244.48 = 6,716.49/x
  3. Step 3: Cross multiply
    9,497.67x = 14,244.48 × 6,716.49
  4. Step 4: Simplify right side
    9,497.67x = 95,672,907.48
  5. Step 5: Solve for x
    x = 95,672,907.48/9,497.67
  6. Step 6: Final answer
    x = 10,073.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.