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Finding the Fourth Proportional to 6,437.42, 9,658.06 and 3,699.50

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Solution

The fourth proportional to 6,437.42, 9,658.06 and 3,699.50 is: 5,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.42 : 9,658.06 = 3,699.50 : x
  2. Step 2: Convert to fraction form
    6,437.42/9,658.06 = 3,699.50/x
  3. Step 3: Cross multiply
    6,437.42x = 9,658.06 × 3,699.50
  4. Step 4: Simplify right side
    6,437.42x = 35,729,992.97
  5. Step 5: Solve for x
    x = 35,729,992.97/6,437.42
  6. Step 6: Final answer
    x = 5,550.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.