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Finding the Fourth Proportional to 6,149.95, 9,224.93 and 1,767.76

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Solution

The fourth proportional to 6,149.95, 9,224.93 and 1,767.76 is: 2,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.95 : 9,224.93 = 1,767.76 : x
  2. Step 2: Convert to fraction form
    6,149.95/9,224.93 = 1,767.76/x
  3. Step 3: Cross multiply
    6,149.95x = 9,224.93 × 1,767.76
  4. Step 4: Simplify right side
    6,149.95x = 16,307,462.26
  5. Step 5: Solve for x
    x = 16,307,462.26/6,149.95
  6. Step 6: Final answer
    x = 2,651.64

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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.