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Finding the Fourth Proportional to 5,631.96, 7,767.54 and 4,303.56

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Solution

The fourth proportional to 5,631.96, 7,767.54 and 4,303.56 is: 5,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.96 : 7,767.54 = 4,303.56 : x
  2. Step 2: Convert to fraction form
    5,631.96/7,767.54 = 4,303.56/x
  3. Step 3: Cross multiply
    5,631.96x = 7,767.54 × 4,303.56
  4. Step 4: Simplify right side
    5,631.96x = 33,428,074.44
  5. Step 5: Solve for x
    x = 33,428,074.44/5,631.96
  6. Step 6: Final answer
    x = 5,935.42

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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.