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Finding the Fourth Proportional to 6,487.16, 9,738.09 and 2,594.30

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Solution

The fourth proportional to 6,487.16, 9,738.09 and 2,594.30 is: 3,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.16 : 9,738.09 = 2,594.30 : x
  2. Step 2: Convert to fraction form
    6,487.16/9,738.09 = 2,594.30/x
  3. Step 3: Cross multiply
    6,487.16x = 9,738.09 × 2,594.30
  4. Step 4: Simplify right side
    6,487.16x = 25,263,478.20
  5. Step 5: Solve for x
    x = 25,263,478.20/6,487.16
  6. Step 6: Final answer
    x = 3,894.38

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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.