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Finding the Fourth Proportional to 6,201.41, 9,302.18 and 4,355.42

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Solution

The fourth proportional to 6,201.41, 9,302.18 and 4,355.42 is: 6,533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.41 : 9,302.18 = 4,355.42 : x
  2. Step 2: Convert to fraction form
    6,201.41/9,302.18 = 4,355.42/x
  3. Step 3: Cross multiply
    6,201.41x = 9,302.18 × 4,355.42
  4. Step 4: Simplify right side
    6,201.41x = 40,514,832.53
  5. Step 5: Solve for x
    x = 40,514,832.53/6,201.41
  6. Step 6: Final answer
    x = 6,533.17

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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.