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Finding the Fourth Proportional to 6,326.50, 9,477.87 and 5,849.14

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Solution

The fourth proportional to 6,326.50, 9,477.87 and 5,849.14 is: 8,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.50 : 9,477.87 = 5,849.14 : x
  2. Step 2: Convert to fraction form
    6,326.50/9,477.87 = 5,849.14/x
  3. Step 3: Cross multiply
    6,326.50x = 9,477.87 × 5,849.14
  4. Step 4: Simplify right side
    6,326.50x = 55,437,388.53
  5. Step 5: Solve for x
    x = 55,437,388.53/6,326.50
  6. Step 6: Final answer
    x = 8,762.73

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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.