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Finding the Fourth Proportional to 6,246.40, 8,448 and 6,246.40

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Solution

The fourth proportional to 6,246.40, 8,448 and 6,246.40 is: 8,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.40 : 8,448 = 6,246.40 : x
  2. Step 2: Convert to fraction form
    6,246.40/8,448 = 6,246.40/x
  3. Step 3: Cross multiply
    6,246.40x = 8,448 × 6,246.40
  4. Step 4: Simplify right side
    6,246.40x = 52,769,587.20
  5. Step 5: Solve for x
    x = 52,769,587.20/6,246.40
  6. Step 6: Final answer
    x = 8,448

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.