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Finding the Fourth Proportional to 6,948.74, 10,418.51 and 3,830.24

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Solution

The fourth proportional to 6,948.74, 10,418.51 and 3,830.24 is: 5,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.74 : 10,418.51 = 3,830.24 : x
  2. Step 2: Convert to fraction form
    6,948.74/10,418.51 = 3,830.24/x
  3. Step 3: Cross multiply
    6,948.74x = 10,418.51 × 3,830.24
  4. Step 4: Simplify right side
    6,948.74x = 39,905,322.50
  5. Step 5: Solve for x
    x = 39,905,322.50/6,948.74
  6. Step 6: Final answer
    x = 5,742.82

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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.