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Finding the Fourth Proportional to 6,466.74, 9,701.15 and 2,769

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Solution

The fourth proportional to 6,466.74, 9,701.15 and 2,769 is: 4,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.74 : 9,701.15 = 2,769 : x
  2. Step 2: Convert to fraction form
    6,466.74/9,701.15 = 2,769/x
  3. Step 3: Cross multiply
    6,466.74x = 9,701.15 × 2,769
  4. Step 4: Simplify right side
    6,466.74x = 26,862,470.51
  5. Step 5: Solve for x
    x = 26,862,470.51/6,466.74
  6. Step 6: Final answer
    x = 4,153.94

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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.