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Finding the Fourth Proportional to 37,299.16, 55,948.18 and 9,219.21

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Solution

The fourth proportional to 37,299.16, 55,948.18 and 9,219.21 is: 13,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,299.16 : 55,948.18 = 9,219.21 : x
  2. Step 2: Convert to fraction form
    37,299.16/55,948.18 = 9,219.21/x
  3. Step 3: Cross multiply
    37,299.16x = 55,948.18 × 9,219.21
  4. Step 4: Simplify right side
    37,299.16x = 515,798,183.46
  5. Step 5: Solve for x
    x = 515,798,183.46/37,299.16
  6. Step 6: Final answer
    x = 13,828.68

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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.