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Finding the Fourth Proportional to 4,965.87, 7,411.09 and 4,764.94

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Solution

The fourth proportional to 4,965.87, 7,411.09 and 4,764.94 is: 7,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.87 : 7,411.09 = 4,764.94 : x
  2. Step 2: Convert to fraction form
    4,965.87/7,411.09 = 4,764.94/x
  3. Step 3: Cross multiply
    4,965.87x = 7,411.09 × 4,764.94
  4. Step 4: Simplify right side
    4,965.87x = 35,313,399.18
  5. Step 5: Solve for x
    x = 35,313,399.18/4,965.87
  6. Step 6: Final answer
    x = 7,111.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.