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Finding the Fourth Proportional to 6,302.68, 9,462.39 and 5,384.14

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Solution

The fourth proportional to 6,302.68, 9,462.39 and 5,384.14 is: 8,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.68 : 9,462.39 = 5,384.14 : x
  2. Step 2: Convert to fraction form
    6,302.68/9,462.39 = 5,384.14/x
  3. Step 3: Cross multiply
    6,302.68x = 9,462.39 × 5,384.14
  4. Step 4: Simplify right side
    6,302.68x = 50,946,832.49
  5. Step 5: Solve for x
    x = 50,946,832.49/6,302.68
  6. Step 6: Final answer
    x = 8,083.36

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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.