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Finding the Fourth Proportional to 4,664.96, 6,963.31 and 4,111.40

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Solution

The fourth proportional to 4,664.96, 6,963.31 and 4,111.40 is: 6,137.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.96 : 6,963.31 = 4,111.40 : x
  2. Step 2: Convert to fraction form
    4,664.96/6,963.31 = 4,111.40/x
  3. Step 3: Cross multiply
    4,664.96x = 6,963.31 × 4,111.40
  4. Step 4: Simplify right side
    4,664.96x = 28,628,917.92
  5. Step 5: Solve for x
    x = 28,628,917.92/4,664.96
  6. Step 6: Final answer
    x = 6,137.01

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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.