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Finding the Fourth Proportional to 37,420.75, 56,131.17 and 9,718.75

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Solution

The fourth proportional to 37,420.75, 56,131.17 and 9,718.75 is: 14,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,420.75 : 56,131.17 = 9,718.75 : x
  2. Step 2: Convert to fraction form
    37,420.75/56,131.17 = 9,718.75/x
  3. Step 3: Cross multiply
    37,420.75x = 56,131.17 × 9,718.75
  4. Step 4: Simplify right side
    37,420.75x = 545,524,808.44
  5. Step 5: Solve for x
    x = 545,524,808.44/37,420.75
  6. Step 6: Final answer
    x = 14,578.14

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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.