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Finding the Fourth Proportional to 6,494.43, 9,740.84 and 2,598.87

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Solution

The fourth proportional to 6,494.43, 9,740.84 and 2,598.87 is: 3,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.43 : 9,740.84 = 2,598.87 : x
  2. Step 2: Convert to fraction form
    6,494.43/9,740.84 = 2,598.87/x
  3. Step 3: Cross multiply
    6,494.43x = 9,740.84 × 2,598.87
  4. Step 4: Simplify right side
    6,494.43x = 25,315,215.00
  5. Step 5: Solve for x
    x = 25,315,215.00/6,494.43
  6. Step 6: Final answer
    x = 3,897.99

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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.