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Finding the Fourth Proportional to 5,702.50, 8,540.74 and 4,660.94

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Solution

The fourth proportional to 5,702.50, 8,540.74 and 4,660.94 is: 6,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.50 : 8,540.74 = 4,660.94 : x
  2. Step 2: Convert to fraction form
    5,702.50/8,540.74 = 4,660.94/x
  3. Step 3: Cross multiply
    5,702.50x = 8,540.74 × 4,660.94
  4. Step 4: Simplify right side
    5,702.50x = 39,807,903.87
  5. Step 5: Solve for x
    x = 39,807,903.87/5,702.50
  6. Step 6: Final answer
    x = 6,980.78

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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.