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Finding the Fourth Proportional to 5,923.62, 8,115.24 and 5,702.04

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Solution

The fourth proportional to 5,923.62, 8,115.24 and 5,702.04 is: 7,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.62 : 8,115.24 = 5,702.04 : x
  2. Step 2: Convert to fraction form
    5,923.62/8,115.24 = 5,702.04/x
  3. Step 3: Cross multiply
    5,923.62x = 8,115.24 × 5,702.04
  4. Step 4: Simplify right side
    5,923.62x = 46,273,423.09
  5. Step 5: Solve for x
    x = 46,273,423.09/5,923.62
  6. Step 6: Final answer
    x = 7,811.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.