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Finding the Fourth Proportional to 8,723.62, 12,032.49 and 5,738.50

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Solution

The fourth proportional to 8,723.62, 12,032.49 and 5,738.50 is: 7,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.62 : 12,032.49 = 5,738.50 : x
  2. Step 2: Convert to fraction form
    8,723.62/12,032.49 = 5,738.50/x
  3. Step 3: Cross multiply
    8,723.62x = 12,032.49 × 5,738.50
  4. Step 4: Simplify right side
    8,723.62x = 69,048,443.87
  5. Step 5: Solve for x
    x = 69,048,443.87/8,723.62
  6. Step 6: Final answer
    x = 7,915.11

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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.