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Finding the Fourth Proportional to 5,794.31, 8,691.37 and 1,411.76

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Solution

The fourth proportional to 5,794.31, 8,691.37 and 1,411.76 is: 2,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.31 : 8,691.37 = 1,411.76 : x
  2. Step 2: Convert to fraction form
    5,794.31/8,691.37 = 1,411.76/x
  3. Step 3: Cross multiply
    5,794.31x = 8,691.37 × 1,411.76
  4. Step 4: Simplify right side
    5,794.31x = 12,270,128.51
  5. Step 5: Solve for x
    x = 12,270,128.51/5,794.31
  6. Step 6: Final answer
    x = 2,117.62

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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.