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Finding the Fourth Proportional to 6,585.71, 9,881.60 and 3,301.16

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Solution

The fourth proportional to 6,585.71, 9,881.60 and 3,301.16 is: 4,953.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.71 : 9,881.60 = 3,301.16 : x
  2. Step 2: Convert to fraction form
    6,585.71/9,881.60 = 3,301.16/x
  3. Step 3: Cross multiply
    6,585.71x = 9,881.60 × 3,301.16
  4. Step 4: Simplify right side
    6,585.71x = 32,620,676.74
  5. Step 5: Solve for x
    x = 32,620,676.74/6,585.71
  6. Step 6: Final answer
    x = 4,953.26

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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.