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Finding the Fourth Proportional to 11,263, 15,542.58 and 6,226.84

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Solution

The fourth proportional to 11,263, 15,542.58 and 6,226.84 is: 8,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,263 : 15,542.58 = 6,226.84 : x
  2. Step 2: Convert to fraction form
    11,263/15,542.58 = 6,226.84/x
  3. Step 3: Cross multiply
    11,263x = 15,542.58 × 6,226.84
  4. Step 4: Simplify right side
    11,263x = 96,781,158.85
  5. Step 5: Solve for x
    x = 96,781,158.85/11,263
  6. Step 6: Final answer
    x = 8,592.84

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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.