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Finding the Fourth Proportional to 8,309.93, 12,451 and 5,840.33

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Solution

The fourth proportional to 8,309.93, 12,451 and 5,840.33 is: 8,750.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.93 : 12,451 = 5,840.33 : x
  2. Step 2: Convert to fraction form
    8,309.93/12,451 = 5,840.33/x
  3. Step 3: Cross multiply
    8,309.93x = 12,451 × 5,840.33
  4. Step 4: Simplify right side
    8,309.93x = 72,717,948.83
  5. Step 5: Solve for x
    x = 72,717,948.83/8,309.93
  6. Step 6: Final answer
    x = 8,750.73

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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.