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Finding the Fourth Proportional to 6,374.48, 9,543.98 and 4,809.76

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Solution

The fourth proportional to 6,374.48, 9,543.98 and 4,809.76 is: 7,201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.48 : 9,543.98 = 4,809.76 : x
  2. Step 2: Convert to fraction form
    6,374.48/9,543.98 = 4,809.76/x
  3. Step 3: Cross multiply
    6,374.48x = 9,543.98 × 4,809.76
  4. Step 4: Simplify right side
    6,374.48x = 45,904,253.24
  5. Step 5: Solve for x
    x = 45,904,253.24/6,374.48
  6. Step 6: Final answer
    x = 7,201.25

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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.