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Finding the Fourth Proportional to 8,230.02, 12,351.53 and 4,723.31

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Solution

The fourth proportional to 8,230.02, 12,351.53 and 4,723.31 is: 7,088.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.02 : 12,351.53 = 4,723.31 : x
  2. Step 2: Convert to fraction form
    8,230.02/12,351.53 = 4,723.31/x
  3. Step 3: Cross multiply
    8,230.02x = 12,351.53 × 4,723.31
  4. Step 4: Simplify right side
    8,230.02x = 58,340,019.79
  5. Step 5: Solve for x
    x = 58,340,019.79/8,230.02
  6. Step 6: Final answer
    x = 7,088.69

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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.