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Finding the Fourth Proportional to 8,594.10, 12,891.15 and 5,138.10

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Solution

The fourth proportional to 8,594.10, 12,891.15 and 5,138.10 is: 7,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.10 : 12,891.15 = 5,138.10 : x
  2. Step 2: Convert to fraction form
    8,594.10/12,891.15 = 5,138.10/x
  3. Step 3: Cross multiply
    8,594.10x = 12,891.15 × 5,138.10
  4. Step 4: Simplify right side
    8,594.10x = 66,236,017.82
  5. Step 5: Solve for x
    x = 66,236,017.82/8,594.10
  6. Step 6: Final answer
    x = 7,707.15

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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.