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Finding the Fourth Proportional to 7,277, 10,041.84 and 4,292.66

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Solution

The fourth proportional to 7,277, 10,041.84 and 4,292.66 is: 5,923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277 : 10,041.84 = 4,292.66 : x
  2. Step 2: Convert to fraction form
    7,277/10,041.84 = 4,292.66/x
  3. Step 3: Cross multiply
    7,277x = 10,041.84 × 4,292.66
  4. Step 4: Simplify right side
    7,277x = 43,106,204.89
  5. Step 5: Solve for x
    x = 43,106,204.89/7,277
  6. Step 6: Final answer
    x = 5,923.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.