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Finding the Fourth Proportional to 10,263.20, 14,163 and 6,072.80

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Solution

The fourth proportional to 10,263.20, 14,163 and 6,072.80 is: 8,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.20 : 14,163 = 6,072.80 : x
  2. Step 2: Convert to fraction form
    10,263.20/14,163 = 6,072.80/x
  3. Step 3: Cross multiply
    10,263.20x = 14,163 × 6,072.80
  4. Step 4: Simplify right side
    10,263.20x = 86,009,066.40
  5. Step 5: Solve for x
    x = 86,009,066.40/10,263.20
  6. Step 6: Final answer
    x = 8,380.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.