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Finding the Fourth Proportional to 37,010.16, 55,513.08 and 9,306

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Solution

The fourth proportional to 37,010.16, 55,513.08 and 9,306 is: 13,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,010.16 : 55,513.08 = 9,306 : x
  2. Step 2: Convert to fraction form
    37,010.16/55,513.08 = 9,306/x
  3. Step 3: Cross multiply
    37,010.16x = 55,513.08 × 9,306
  4. Step 4: Simplify right side
    37,010.16x = 516,604,722.48
  5. Step 5: Solve for x
    x = 516,604,722.48/37,010.16
  6. Step 6: Final answer
    x = 13,958.46

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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.