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Finding the Fourth Proportional to 4,772.76, 7,120.40 and 4,514.43

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Solution

The fourth proportional to 4,772.76, 7,120.40 and 4,514.43 is: 6,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.76 : 7,120.40 = 4,514.43 : x
  2. Step 2: Convert to fraction form
    4,772.76/7,120.40 = 4,514.43/x
  3. Step 3: Cross multiply
    4,772.76x = 7,120.40 × 4,514.43
  4. Step 4: Simplify right side
    4,772.76x = 32,144,504.12
  5. Step 5: Solve for x
    x = 32,144,504.12/4,772.76
  6. Step 6: Final answer
    x = 6,734.99

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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.