Home / 6,946-9,585.57-3,802.12

Finding the Fourth Proportional to 6,946, 9,585.57 and 3,802.12

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Solution

The fourth proportional to 6,946, 9,585.57 and 3,802.12 is: 5,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946 : 9,585.57 = 3,802.12 : x
  2. Step 2: Convert to fraction form
    6,946/9,585.57 = 3,802.12/x
  3. Step 3: Cross multiply
    6,946x = 9,585.57 × 3,802.12
  4. Step 4: Simplify right side
    6,946x = 36,445,487.41
  5. Step 5: Solve for x
    x = 36,445,487.41/6,946
  6. Step 6: Final answer
    x = 5,246.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.