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Finding the Fourth Proportional to 37,878.57, 56,817.89 and 10,176.57

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Solution

The fourth proportional to 37,878.57, 56,817.89 and 10,176.57 is: 15,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,878.57 : 56,817.89 = 10,176.57 : x
  2. Step 2: Convert to fraction form
    37,878.57/56,817.89 = 10,176.57/x
  3. Step 3: Cross multiply
    37,878.57x = 56,817.89 × 10,176.57
  4. Step 4: Simplify right side
    37,878.57x = 578,211,183.95
  5. Step 5: Solve for x
    x = 578,211,183.95/37,878.57
  6. Step 6: Final answer
    x = 15,264.86

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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.