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Finding the Fourth Proportional to 4,672.14, 7,005.78 and 1,748.22

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Solution

The fourth proportional to 4,672.14, 7,005.78 and 1,748.22 is: 2,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.14 : 7,005.78 = 1,748.22 : x
  2. Step 2: Convert to fraction form
    4,672.14/7,005.78 = 1,748.22/x
  3. Step 3: Cross multiply
    4,672.14x = 7,005.78 × 1,748.22
  4. Step 4: Simplify right side
    4,672.14x = 12,247,644.71
  5. Step 5: Solve for x
    x = 12,247,644.71/4,672.14
  6. Step 6: Final answer
    x = 2,621.42

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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.