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Finding the Fourth Proportional to 5,897.40, 8,134.38 and 4,847.64

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Solution

The fourth proportional to 5,897.40, 8,134.38 and 4,847.64 is: 6,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.40 : 8,134.38 = 4,847.64 : x
  2. Step 2: Convert to fraction form
    5,897.40/8,134.38 = 4,847.64/x
  3. Step 3: Cross multiply
    5,897.40x = 8,134.38 × 4,847.64
  4. Step 4: Simplify right side
    5,897.40x = 39,432,545.86
  5. Step 5: Solve for x
    x = 39,432,545.86/5,897.40
  6. Step 6: Final answer
    x = 6,686.43

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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.