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Finding the Fourth Proportional to 6,144.86, 9,218.81 and 1,762.66

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Solution

The fourth proportional to 6,144.86, 9,218.81 and 1,762.66 is: 2,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.86 : 9,218.81 = 1,762.66 : x
  2. Step 2: Convert to fraction form
    6,144.86/9,218.81 = 1,762.66/x
  3. Step 3: Cross multiply
    6,144.86x = 9,218.81 × 1,762.66
  4. Step 4: Simplify right side
    6,144.86x = 16,249,643.56
  5. Step 5: Solve for x
    x = 16,249,643.56/6,144.86
  6. Step 6: Final answer
    x = 2,644.43

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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.