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Finding the Fourth Proportional to 6,148.32, 8,474.57 and 4,356.40

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Solution

The fourth proportional to 6,148.32, 8,474.57 and 4,356.40 is: 6,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.32 : 8,474.57 = 4,356.40 : x
  2. Step 2: Convert to fraction form
    6,148.32/8,474.57 = 4,356.40/x
  3. Step 3: Cross multiply
    6,148.32x = 8,474.57 × 4,356.40
  4. Step 4: Simplify right side
    6,148.32x = 36,918,594.97
  5. Step 5: Solve for x
    x = 36,918,594.97/6,148.32
  6. Step 6: Final answer
    x = 6,004.66

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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.