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Finding the Fourth Proportional to 4,527, 6,791.46 and 1,406.93

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Solution

The fourth proportional to 4,527, 6,791.46 and 1,406.93 is: 2,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527 : 6,791.46 = 1,406.93 : x
  2. Step 2: Convert to fraction form
    4,527/6,791.46 = 1,406.93/x
  3. Step 3: Cross multiply
    4,527x = 6,791.46 × 1,406.93
  4. Step 4: Simplify right side
    4,527x = 9,555,074.86
  5. Step 5: Solve for x
    x = 9,555,074.86/4,527
  6. Step 6: Final answer
    x = 2,110.69

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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.