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Finding the Fourth Proportional to 5,631.72, 7,767.42 and 4,302.12

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Solution

The fourth proportional to 5,631.72, 7,767.42 and 4,302.12 is: 5,933.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.72 : 7,767.42 = 4,302.12 : x
  2. Step 2: Convert to fraction form
    5,631.72/7,767.42 = 4,302.12/x
  3. Step 3: Cross multiply
    5,631.72x = 7,767.42 × 4,302.12
  4. Step 4: Simplify right side
    5,631.72x = 33,416,372.93
  5. Step 5: Solve for x
    x = 33,416,372.93/5,631.72
  6. Step 6: Final answer
    x = 5,933.60

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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.