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Finding the Fourth Proportional to 7,998, 11,037.25 and 4,461.44

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Solution

The fourth proportional to 7,998, 11,037.25 and 4,461.44 is: 6,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998 : 11,037.25 = 4,461.44 : x
  2. Step 2: Convert to fraction form
    7,998/11,037.25 = 4,461.44/x
  3. Step 3: Cross multiply
    7,998x = 11,037.25 × 4,461.44
  4. Step 4: Simplify right side
    7,998x = 49,241,973.45
  5. Step 5: Solve for x
    x = 49,241,973.45/7,998
  6. Step 6: Final answer
    x = 6,156.79

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Double scale
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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.