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Finding the Fourth Proportional to 6,356.61, 9,536.36 and 2,462.13

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Solution

The fourth proportional to 6,356.61, 9,536.36 and 2,462.13 is: 3,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.61 : 9,536.36 = 2,462.13 : x
  2. Step 2: Convert to fraction form
    6,356.61/9,536.36 = 2,462.13/x
  3. Step 3: Cross multiply
    6,356.61x = 9,536.36 × 2,462.13
  4. Step 4: Simplify right side
    6,356.61x = 23,479,745.74
  5. Step 5: Solve for x
    x = 23,479,745.74/6,356.61
  6. Step 6: Final answer
    x = 3,693.75

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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.