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Finding the Fourth Proportional to 4,992.87, 7,461.68 and 4,704.78

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Solution

The fourth proportional to 4,992.87, 7,461.68 and 4,704.78 is: 7,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.87 : 7,461.68 = 4,704.78 : x
  2. Step 2: Convert to fraction form
    4,992.87/7,461.68 = 4,704.78/x
  3. Step 3: Cross multiply
    4,992.87x = 7,461.68 × 4,704.78
  4. Step 4: Simplify right side
    4,992.87x = 35,105,539.31
  5. Step 5: Solve for x
    x = 35,105,539.31/4,992.87
  6. Step 6: Final answer
    x = 7,031.13

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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.