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Finding the Fourth Proportional to 4,797.42, 7,197.11 and 2,024.10

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Solution

The fourth proportional to 4,797.42, 7,197.11 and 2,024.10 is: 3,036.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.42 : 7,197.11 = 2,024.10 : x
  2. Step 2: Convert to fraction form
    4,797.42/7,197.11 = 2,024.10/x
  3. Step 3: Cross multiply
    4,797.42x = 7,197.11 × 2,024.10
  4. Step 4: Simplify right side
    4,797.42x = 14,567,670.35
  5. Step 5: Solve for x
    x = 14,567,670.35/4,797.42
  6. Step 6: Final answer
    x = 3,036.56

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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.