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Finding the Fourth Proportional to 8,153.87, 12,241.13 and 6,783.95

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Solution

The fourth proportional to 8,153.87, 12,241.13 and 6,783.95 is: 10,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.87 : 12,241.13 = 6,783.95 : x
  2. Step 2: Convert to fraction form
    8,153.87/12,241.13 = 6,783.95/x
  3. Step 3: Cross multiply
    8,153.87x = 12,241.13 × 6,783.95
  4. Step 4: Simplify right side
    8,153.87x = 83,043,210.55
  5. Step 5: Solve for x
    x = 83,043,210.55/8,153.87
  6. Step 6: Final answer
    x = 10,184.52

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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.