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Finding the Fourth Proportional to 5,897.94, 8,863.12 and 5,512.66

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Solution

The fourth proportional to 5,897.94, 8,863.12 and 5,512.66 is: 8,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.94 : 8,863.12 = 5,512.66 : x
  2. Step 2: Convert to fraction form
    5,897.94/8,863.12 = 5,512.66/x
  3. Step 3: Cross multiply
    5,897.94x = 8,863.12 × 5,512.66
  4. Step 4: Simplify right side
    5,897.94x = 48,859,367.10
  5. Step 5: Solve for x
    x = 48,859,367.10/5,897.94
  6. Step 6: Final answer
    x = 8,284.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.