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Finding the Fourth Proportional to 7,601.63, 11,402.51 and 2,984.63

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Solution

The fourth proportional to 7,601.63, 11,402.51 and 2,984.63 is: 4,476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.63 : 11,402.51 = 2,984.63 : x
  2. Step 2: Convert to fraction form
    7,601.63/11,402.51 = 2,984.63/x
  3. Step 3: Cross multiply
    7,601.63x = 11,402.51 × 2,984.63
  4. Step 4: Simplify right side
    7,601.63x = 34,032,201.49
  5. Step 5: Solve for x
    x = 34,032,201.49/7,601.63
  6. Step 6: Final answer
    x = 4,476.96

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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.