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Finding the Fourth Proportional to 37,298.88, 55,947.76 and 9,218.93

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Solution

The fourth proportional to 37,298.88, 55,947.76 and 9,218.93 is: 13,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,298.88 : 55,947.76 = 9,218.93 : x
  2. Step 2: Convert to fraction form
    37,298.88/55,947.76 = 9,218.93/x
  3. Step 3: Cross multiply
    37,298.88x = 55,947.76 × 9,218.93
  4. Step 4: Simplify right side
    37,298.88x = 515,778,634.49
  5. Step 5: Solve for x
    x = 515,778,634.49/37,298.88
  6. Step 6: Final answer
    x = 13,828.26

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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.