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Finding the Fourth Proportional to 6,929.38, 9,570.48 and 5,049.40

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Solution

The fourth proportional to 6,929.38, 9,570.48 and 5,049.40 is: 6,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.38 : 9,570.48 = 5,049.40 : x
  2. Step 2: Convert to fraction form
    6,929.38/9,570.48 = 5,049.40/x
  3. Step 3: Cross multiply
    6,929.38x = 9,570.48 × 5,049.40
  4. Step 4: Simplify right side
    6,929.38x = 48,325,181.71
  5. Step 5: Solve for x
    x = 48,325,181.71/6,929.38
  6. Step 6: Final answer
    x = 6,973.95

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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.