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Finding the Fourth Proportional to 8,210.70, 12,315.24 and 2,662.47

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Solution

The fourth proportional to 8,210.70, 12,315.24 and 2,662.47 is: 3,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.70 : 12,315.24 = 2,662.47 : x
  2. Step 2: Convert to fraction form
    8,210.70/12,315.24 = 2,662.47/x
  3. Step 3: Cross multiply
    8,210.70x = 12,315.24 × 2,662.47
  4. Step 4: Simplify right side
    8,210.70x = 32,788,957.04
  5. Step 5: Solve for x
    x = 32,788,957.04/8,210.70
  6. Step 6: Final answer
    x = 3,993.44

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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.