Home / 6,946.29-10,420.35-2,264.66

Finding the Fourth Proportional to 6,946.29, 10,420.35 and 2,264.66

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Solution

The fourth proportional to 6,946.29, 10,420.35 and 2,264.66 is: 3,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.29 : 10,420.35 = 2,264.66 : x
  2. Step 2: Convert to fraction form
    6,946.29/10,420.35 = 2,264.66/x
  3. Step 3: Cross multiply
    6,946.29x = 10,420.35 × 2,264.66
  4. Step 4: Simplify right side
    6,946.29x = 23,598,497.73
  5. Step 5: Solve for x
    x = 23,598,497.73/6,946.29
  6. Step 6: Final answer
    x = 3,397.28

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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.