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Finding the Fourth Proportional to 7,228.34, 10,849.34 and 4,764.76

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Solution

The fourth proportional to 7,228.34, 10,849.34 and 4,764.76 is: 7,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.34 : 10,849.34 = 4,764.76 : x
  2. Step 2: Convert to fraction form
    7,228.34/10,849.34 = 4,764.76/x
  3. Step 3: Cross multiply
    7,228.34x = 10,849.34 × 4,764.76
  4. Step 4: Simplify right side
    7,228.34x = 51,694,486.05
  5. Step 5: Solve for x
    x = 51,694,486.05/7,228.34
  6. Step 6: Final answer
    x = 7,151.64

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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.