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Finding the Fourth Proportional to 6,465.13, 9,691.51 and 2,079.50

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Solution

The fourth proportional to 6,465.13, 9,691.51 and 2,079.50 is: 3,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.13 : 9,691.51 = 2,079.50 : x
  2. Step 2: Convert to fraction form
    6,465.13/9,691.51 = 2,079.50/x
  3. Step 3: Cross multiply
    6,465.13x = 9,691.51 × 2,079.50
  4. Step 4: Simplify right side
    6,465.13x = 20,153,495.05
  5. Step 5: Solve for x
    x = 20,153,495.05/6,465.13
  6. Step 6: Final answer
    x = 3,117.26

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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.