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Finding the Fourth Proportional to 9,011.04, 13,494.48 and 7,441.44

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Solution

The fourth proportional to 9,011.04, 13,494.48 and 7,441.44 is: 11,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.04 : 13,494.48 = 7,441.44 : x
  2. Step 2: Convert to fraction form
    9,011.04/13,494.48 = 7,441.44/x
  3. Step 3: Cross multiply
    9,011.04x = 13,494.48 × 7,441.44
  4. Step 4: Simplify right side
    9,011.04x = 100,418,363.25
  5. Step 5: Solve for x
    x = 100,418,363.25/9,011.04
  6. Step 6: Final answer
    x = 11,143.93

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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.