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Finding the Fourth Proportional to 6,478.77, 9,718.14 and 2,582.25

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Solution

The fourth proportional to 6,478.77, 9,718.14 and 2,582.25 is: 3,873.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.77 : 9,718.14 = 2,582.25 : x
  2. Step 2: Convert to fraction form
    6,478.77/9,718.14 = 2,582.25/x
  3. Step 3: Cross multiply
    6,478.77x = 9,718.14 × 2,582.25
  4. Step 4: Simplify right side
    6,478.77x = 25,094,667.02
  5. Step 5: Solve for x
    x = 25,094,667.02/6,478.77
  6. Step 6: Final answer
    x = 3,873.37

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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.