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Finding the Fourth Proportional to 9,065.68, 12,513.28 and 5,922.32

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Solution

The fourth proportional to 9,065.68, 12,513.28 and 5,922.32 is: 8,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.68 : 12,513.28 = 5,922.32 : x
  2. Step 2: Convert to fraction form
    9,065.68/12,513.28 = 5,922.32/x
  3. Step 3: Cross multiply
    9,065.68x = 12,513.28 × 5,922.32
  4. Step 4: Simplify right side
    9,065.68x = 74,107,648.41
  5. Step 5: Solve for x
    x = 74,107,648.41/9,065.68
  6. Step 6: Final answer
    x = 8,174.53

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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.