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Finding the Fourth Proportional to 8,205.62, 12,314.70 and 4,260.10

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Solution

The fourth proportional to 8,205.62, 12,314.70 and 4,260.10 is: 6,393.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.62 : 12,314.70 = 4,260.10 : x
  2. Step 2: Convert to fraction form
    8,205.62/12,314.70 = 4,260.10/x
  3. Step 3: Cross multiply
    8,205.62x = 12,314.70 × 4,260.10
  4. Step 4: Simplify right side
    8,205.62x = 52,461,853.47
  5. Step 5: Solve for x
    x = 52,461,853.47/8,205.62
  6. Step 6: Final answer
    x = 6,393.41

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1.5x scale

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.