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Finding the Fourth Proportional to 10,969.98, 16,454.98 and 3,178.80

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Solution

The fourth proportional to 10,969.98, 16,454.98 and 3,178.80 is: 4,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.98 : 16,454.98 = 3,178.80 : x
  2. Step 2: Convert to fraction form
    10,969.98/16,454.98 = 3,178.80/x
  3. Step 3: Cross multiply
    10,969.98x = 16,454.98 × 3,178.80
  4. Step 4: Simplify right side
    10,969.98x = 52,307,090.42
  5. Step 5: Solve for x
    x = 52,307,090.42/10,969.98
  6. Step 6: Final answer
    x = 4,768.20

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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.