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Finding the Fourth Proportional to 4,666.84, 7,003.04 and 1,747.24

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Solution

The fourth proportional to 4,666.84, 7,003.04 and 1,747.24 is: 2,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.84 : 7,003.04 = 1,747.24 : x
  2. Step 2: Convert to fraction form
    4,666.84/7,003.04 = 1,747.24/x
  3. Step 3: Cross multiply
    4,666.84x = 7,003.04 × 1,747.24
  4. Step 4: Simplify right side
    4,666.84x = 12,235,991.61
  5. Step 5: Solve for x
    x = 12,235,991.61/4,666.84
  6. Step 6: Final answer
    x = 2,621.90

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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.