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Finding the Fourth Proportional to 7,757, 10,701.06 and 4,923.08

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Solution

The fourth proportional to 7,757, 10,701.06 and 4,923.08 is: 6,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757 : 10,701.06 = 4,923.08 : x
  2. Step 2: Convert to fraction form
    7,757/10,701.06 = 4,923.08/x
  3. Step 3: Cross multiply
    7,757x = 10,701.06 × 4,923.08
  4. Step 4: Simplify right side
    7,757x = 52,682,174.46
  5. Step 5: Solve for x
    x = 52,682,174.46/7,757
  6. Step 6: Final answer
    x = 6,791.57

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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.