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Finding the Fourth Proportional to 6,582.74, 9,863.72 and 2,417.02

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Solution

The fourth proportional to 6,582.74, 9,863.72 and 2,417.02 is: 3,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.74 : 9,863.72 = 2,417.02 : x
  2. Step 2: Convert to fraction form
    6,582.74/9,863.72 = 2,417.02/x
  3. Step 3: Cross multiply
    6,582.74x = 9,863.72 × 2,417.02
  4. Step 4: Simplify right side
    6,582.74x = 23,840,808.51
  5. Step 5: Solve for x
    x = 23,840,808.51/6,582.74
  6. Step 6: Final answer
    x = 3,621.72

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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.