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Finding the Fourth Proportional to 4,960.49, 7,447.06 and 3,089.24

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Solution

The fourth proportional to 4,960.49, 7,447.06 and 3,089.24 is: 4,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.49 : 7,447.06 = 3,089.24 : x
  2. Step 2: Convert to fraction form
    4,960.49/7,447.06 = 3,089.24/x
  3. Step 3: Cross multiply
    4,960.49x = 7,447.06 × 3,089.24
  4. Step 4: Simplify right side
    4,960.49x = 23,005,750.19
  5. Step 5: Solve for x
    x = 23,005,750.19/4,960.49
  6. Step 6: Final answer
    x = 4,637.80

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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.