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Finding the Fourth Proportional to 7,073.80, 9,757.70 and 4,834.60

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Solution

The fourth proportional to 7,073.80, 9,757.70 and 4,834.60 is: 6,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.80 : 9,757.70 = 4,834.60 : x
  2. Step 2: Convert to fraction form
    7,073.80/9,757.70 = 4,834.60/x
  3. Step 3: Cross multiply
    7,073.80x = 9,757.70 × 4,834.60
  4. Step 4: Simplify right side
    7,073.80x = 47,174,576.42
  5. Step 5: Solve for x
    x = 47,174,576.42/7,073.80
  6. Step 6: Final answer
    x = 6,668.92

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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.