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Finding the Fourth Proportional to 6,137.60, 8,470.10 and 3,484.92

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Solution

The fourth proportional to 6,137.60, 8,470.10 and 3,484.92 is: 4,809.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.60 : 8,470.10 = 3,484.92 : x
  2. Step 2: Convert to fraction form
    6,137.60/8,470.10 = 3,484.92/x
  3. Step 3: Cross multiply
    6,137.60x = 8,470.10 × 3,484.92
  4. Step 4: Simplify right side
    6,137.60x = 29,517,620.89
  5. Step 5: Solve for x
    x = 29,517,620.89/6,137.60
  6. Step 6: Final answer
    x = 4,809.31

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1.5x scale

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.