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Finding the Fourth Proportional to 6,490.70, 9,740.85 and 2,597.90

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Solution

The fourth proportional to 6,490.70, 9,740.85 and 2,597.90 is: 3,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.70 : 9,740.85 = 2,597.90 : x
  2. Step 2: Convert to fraction form
    6,490.70/9,740.85 = 2,597.90/x
  3. Step 3: Cross multiply
    6,490.70x = 9,740.85 × 2,597.90
  4. Step 4: Simplify right side
    6,490.70x = 25,305,754.22
  5. Step 5: Solve for x
    x = 25,305,754.22/6,490.70
  6. Step 6: Final answer
    x = 3,898.77

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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.