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Finding the Fourth Proportional to 6,562.77, 9,844.20 and 2,864.09

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Solution

The fourth proportional to 6,562.77, 9,844.20 and 2,864.09 is: 4,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.77 : 9,844.20 = 2,864.09 : x
  2. Step 2: Convert to fraction form
    6,562.77/9,844.20 = 2,864.09/x
  3. Step 3: Cross multiply
    6,562.77x = 9,844.20 × 2,864.09
  4. Step 4: Simplify right side
    6,562.77x = 28,194,674.78
  5. Step 5: Solve for x
    x = 28,194,674.78/6,562.77
  6. Step 6: Final answer
    x = 4,296.15

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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.