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Finding the Fourth Proportional to 6,133.48, 9,201.05 and 1,972.10

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Solution

The fourth proportional to 6,133.48, 9,201.05 and 1,972.10 is: 2,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.48 : 9,201.05 = 1,972.10 : x
  2. Step 2: Convert to fraction form
    6,133.48/9,201.05 = 1,972.10/x
  3. Step 3: Cross multiply
    6,133.48x = 9,201.05 × 1,972.10
  4. Step 4: Simplify right side
    6,133.48x = 18,145,390.71
  5. Step 5: Solve for x
    x = 18,145,390.71/6,133.48
  6. Step 6: Final answer
    x = 2,958.42

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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.