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Finding the Fourth Proportional to 9,165, 12,647.98 and 5,186.02

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Solution

The fourth proportional to 9,165, 12,647.98 and 5,186.02 is: 7,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165 : 12,647.98 = 5,186.02 : x
  2. Step 2: Convert to fraction form
    9,165/12,647.98 = 5,186.02/x
  3. Step 3: Cross multiply
    9,165x = 12,647.98 × 5,186.02
  4. Step 4: Simplify right side
    9,165x = 65,592,677.24
  5. Step 5: Solve for x
    x = 65,592,677.24/9,165
  6. Step 6: Final answer
    x = 7,156.87

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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.