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Finding the Fourth Proportional to 9,225.84, 13,849.72 and 7,279.44

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Solution

The fourth proportional to 9,225.84, 13,849.72 and 7,279.44 is: 10,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.84 : 13,849.72 = 7,279.44 : x
  2. Step 2: Convert to fraction form
    9,225.84/13,849.72 = 7,279.44/x
  3. Step 3: Cross multiply
    9,225.84x = 13,849.72 × 7,279.44
  4. Step 4: Simplify right side
    9,225.84x = 100,818,205.76
  5. Step 5: Solve for x
    x = 100,818,205.76/9,225.84
  6. Step 6: Final answer
    x = 10,927.81

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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.