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Finding the Fourth Proportional to 6,374.80, 9,543.30 and 4,738.60

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Solution

The fourth proportional to 6,374.80, 9,543.30 and 4,738.60 is: 7,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.80 : 9,543.30 = 4,738.60 : x
  2. Step 2: Convert to fraction form
    6,374.80/9,543.30 = 4,738.60/x
  3. Step 3: Cross multiply
    6,374.80x = 9,543.30 × 4,738.60
  4. Step 4: Simplify right side
    6,374.80x = 45,221,881.38
  5. Step 5: Solve for x
    x = 45,221,881.38/6,374.80
  6. Step 6: Final answer
    x = 7,093.85

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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.