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Finding the Fourth Proportional to 10,496.67, 14,474.07 and 7,132.74

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Solution

The fourth proportional to 10,496.67, 14,474.07 and 7,132.74 is: 9,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.67 : 14,474.07 = 7,132.74 : x
  2. Step 2: Convert to fraction form
    10,496.67/14,474.07 = 7,132.74/x
  3. Step 3: Cross multiply
    10,496.67x = 14,474.07 × 7,132.74
  4. Step 4: Simplify right side
    10,496.67x = 103,239,778.05
  5. Step 5: Solve for x
    x = 103,239,778.05/10,496.67
  6. Step 6: Final answer
    x = 9,835.48

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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.