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Finding the Fourth Proportional to 4,869.12, 7,296 and 2,922.24

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Solution

The fourth proportional to 4,869.12, 7,296 and 2,922.24 is: 4,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.12 : 7,296 = 2,922.24 : x
  2. Step 2: Convert to fraction form
    4,869.12/7,296 = 2,922.24/x
  3. Step 3: Cross multiply
    4,869.12x = 7,296 × 2,922.24
  4. Step 4: Simplify right side
    4,869.12x = 21,320,663.04
  5. Step 5: Solve for x
    x = 21,320,663.04/4,869.12
  6. Step 6: Final answer
    x = 4,378.75

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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.