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Finding the Fourth Proportional to 37,900.13, 56,849.94 and 9,820.13

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Solution

The fourth proportional to 37,900.13, 56,849.94 and 9,820.13 is: 14,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,900.13 : 56,849.94 = 9,820.13 : x
  2. Step 2: Convert to fraction form
    37,900.13/56,849.94 = 9,820.13/x
  3. Step 3: Cross multiply
    37,900.13x = 56,849.94 × 9,820.13
  4. Step 4: Simplify right side
    37,900.13x = 558,273,517.04
  5. Step 5: Solve for x
    x = 558,273,517.04/37,900.13
  6. Step 6: Final answer
    x = 14,730.12

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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.