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Finding the Fourth Proportional to 6,546.57, 9,818.37 and 1,866.47

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Solution

The fourth proportional to 6,546.57, 9,818.37 and 1,866.47 is: 2,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.57 : 9,818.37 = 1,866.47 : x
  2. Step 2: Convert to fraction form
    6,546.57/9,818.37 = 1,866.47/x
  3. Step 3: Cross multiply
    6,546.57x = 9,818.37 × 1,866.47
  4. Step 4: Simplify right side
    6,546.57x = 18,325,683.72
  5. Step 5: Solve for x
    x = 18,325,683.72/6,546.57
  6. Step 6: Final answer
    x = 2,799.28

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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.