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Finding the Fourth Proportional to 6,818.52, 9,407.30 and 5,557.40

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Solution

The fourth proportional to 6,818.52, 9,407.30 and 5,557.40 is: 7,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.52 : 9,407.30 = 5,557.40 : x
  2. Step 2: Convert to fraction form
    6,818.52/9,407.30 = 5,557.40/x
  3. Step 3: Cross multiply
    6,818.52x = 9,407.30 × 5,557.40
  4. Step 4: Simplify right side
    6,818.52x = 52,280,142.39
  5. Step 5: Solve for x
    x = 52,280,142.39/6,818.52
  6. Step 6: Final answer
    x = 7,667.38

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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.