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Finding the Fourth Proportional to 7,997.74, 11,037 and 4,461.22

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Solution

The fourth proportional to 7,997.74, 11,037 and 4,461.22 is: 6,156.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.74 : 11,037 = 4,461.22 : x
  2. Step 2: Convert to fraction form
    7,997.74/11,037 = 4,461.22/x
  3. Step 3: Cross multiply
    7,997.74x = 11,037 × 4,461.22
  4. Step 4: Simplify right side
    7,997.74x = 49,238,485.14
  5. Step 5: Solve for x
    x = 49,238,485.14/7,997.74
  6. Step 6: Final answer
    x = 6,156.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.