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Finding the Fourth Proportional to 37,761.70, 56,642.64 and 11,466.64

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Solution

The fourth proportional to 37,761.70, 56,642.64 and 11,466.64 is: 17,199.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,761.70 : 56,642.64 = 11,466.64 : x
  2. Step 2: Convert to fraction form
    37,761.70/56,642.64 = 11,466.64/x
  3. Step 3: Cross multiply
    37,761.70x = 56,642.64 × 11,466.64
  4. Step 4: Simplify right side
    37,761.70x = 649,500,761.53
  5. Step 5: Solve for x
    x = 649,500,761.53/37,761.70
  6. Step 6: Final answer
    x = 17,199.99

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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.