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Finding the Fourth Proportional to 6,254.78, 9,379.02 and 2,356.46

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Solution

The fourth proportional to 6,254.78, 9,379.02 and 2,356.46 is: 3,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.78 : 9,379.02 = 2,356.46 : x
  2. Step 2: Convert to fraction form
    6,254.78/9,379.02 = 2,356.46/x
  3. Step 3: Cross multiply
    6,254.78x = 9,379.02 × 2,356.46
  4. Step 4: Simplify right side
    6,254.78x = 22,101,285.47
  5. Step 5: Solve for x
    x = 22,101,285.47/6,254.78
  6. Step 6: Final answer
    x = 3,533.50

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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.