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Finding the Fourth Proportional to 37,428.30, 56,143.53 and 9,348.30

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Solution

The fourth proportional to 37,428.30, 56,143.53 and 9,348.30 is: 14,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,428.30 : 56,143.53 = 9,348.30 : x
  2. Step 2: Convert to fraction form
    37,428.30/56,143.53 = 9,348.30/x
  3. Step 3: Cross multiply
    37,428.30x = 56,143.53 × 9,348.30
  4. Step 4: Simplify right side
    37,428.30x = 524,846,561.50
  5. Step 5: Solve for x
    x = 524,846,561.50/37,428.30
  6. Step 6: Final answer
    x = 14,022.72

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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.