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Finding the Fourth Proportional to 7,073.42, 9,763.08 and 4,091.12

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Solution

The fourth proportional to 7,073.42, 9,763.08 and 4,091.12 is: 5,646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.42 : 9,763.08 = 4,091.12 : x
  2. Step 2: Convert to fraction form
    7,073.42/9,763.08 = 4,091.12/x
  3. Step 3: Cross multiply
    7,073.42x = 9,763.08 × 4,091.12
  4. Step 4: Simplify right side
    7,073.42x = 39,941,931.85
  5. Step 5: Solve for x
    x = 39,941,931.85/7,073.42
  6. Step 6: Final answer
    x = 5,646.76

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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.