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Finding the Fourth Proportional to 6,581.79, 9,871.62 and 2,199.24

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Solution

The fourth proportional to 6,581.79, 9,871.62 and 2,199.24 is: 3,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.79 : 9,871.62 = 2,199.24 : x
  2. Step 2: Convert to fraction form
    6,581.79/9,871.62 = 2,199.24/x
  3. Step 3: Cross multiply
    6,581.79x = 9,871.62 × 2,199.24
  4. Step 4: Simplify right side
    6,581.79x = 21,710,053.32
  5. Step 5: Solve for x
    x = 21,710,053.32/6,581.79
  6. Step 6: Final answer
    x = 3,298.50

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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.