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Finding the Fourth Proportional to 8,335.98, 12,503.01 and 2,180.46

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Solution

The fourth proportional to 8,335.98, 12,503.01 and 2,180.46 is: 3,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.98 : 12,503.01 = 2,180.46 : x
  2. Step 2: Convert to fraction form
    8,335.98/12,503.01 = 2,180.46/x
  3. Step 3: Cross multiply
    8,335.98x = 12,503.01 × 2,180.46
  4. Step 4: Simplify right side
    8,335.98x = 27,262,313.18
  5. Step 5: Solve for x
    x = 27,262,313.18/8,335.98
  6. Step 6: Final answer
    x = 3,270.44

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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.