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Finding the Fourth Proportional to 37,880.56, 56,820.82 and 10,178.56

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Solution

The fourth proportional to 37,880.56, 56,820.82 and 10,178.56 is: 15,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,880.56 : 56,820.82 = 10,178.56 : x
  2. Step 2: Convert to fraction form
    37,880.56/56,820.82 = 10,178.56/x
  3. Step 3: Cross multiply
    37,880.56x = 56,820.82 × 10,178.56
  4. Step 4: Simplify right side
    37,880.56x = 578,354,125.62
  5. Step 5: Solve for x
    x = 578,354,125.62/37,880.56
  6. Step 6: Final answer
    x = 15,267.83

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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.