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Finding the Fourth Proportional to 8,342.70, 11,498.67 and 6,350.10

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Solution

The fourth proportional to 8,342.70, 11,498.67 and 6,350.10 is: 8,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.70 : 11,498.67 = 6,350.10 : x
  2. Step 2: Convert to fraction form
    8,342.70/11,498.67 = 6,350.10/x
  3. Step 3: Cross multiply
    8,342.70x = 11,498.67 × 6,350.10
  4. Step 4: Simplify right side
    8,342.70x = 73,017,704.37
  5. Step 5: Solve for x
    x = 73,017,704.37/8,342.70
  6. Step 6: Final answer
    x = 8,752.29

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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.