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Finding the Fourth Proportional to 4,764.30, 7,118.49 and 4,764.30

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Solution

The fourth proportional to 4,764.30, 7,118.49 and 4,764.30 is: 7,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.30 : 7,118.49 = 4,764.30 : x
  2. Step 2: Convert to fraction form
    4,764.30/7,118.49 = 4,764.30/x
  3. Step 3: Cross multiply
    4,764.30x = 7,118.49 × 4,764.30
  4. Step 4: Simplify right side
    4,764.30x = 33,914,621.91
  5. Step 5: Solve for x
    x = 33,914,621.91/4,764.30
  6. Step 6: Final answer
    x = 7,118.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.