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Finding the Fourth Proportional to 8,221.98, 12,334.16 and 2,597.75

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Solution

The fourth proportional to 8,221.98, 12,334.16 and 2,597.75 is: 3,897.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.98 : 12,334.16 = 2,597.75 : x
  2. Step 2: Convert to fraction form
    8,221.98/12,334.16 = 2,597.75/x
  3. Step 3: Cross multiply
    8,221.98x = 12,334.16 × 2,597.75
  4. Step 4: Simplify right side
    8,221.98x = 32,041,064.14
  5. Step 5: Solve for x
    x = 32,041,064.14/8,221.98
  6. Step 6: Final answer
    x = 3,897.00

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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.