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Finding the Fourth Proportional to 9,045, 12,487.22 and 6,833.16

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Solution

The fourth proportional to 9,045, 12,487.22 and 6,833.16 is: 9,433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045 : 12,487.22 = 6,833.16 : x
  2. Step 2: Convert to fraction form
    9,045/12,487.22 = 6,833.16/x
  3. Step 3: Cross multiply
    9,045x = 12,487.22 × 6,833.16
  4. Step 4: Simplify right side
    9,045x = 85,327,172.22
  5. Step 5: Solve for x
    x = 85,327,172.22/9,045
  6. Step 6: Final answer
    x = 9,433.63

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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.