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Finding the Fourth Proportional to 7,354.91, 11,032.37 and 2,164.43

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Solution

The fourth proportional to 7,354.91, 11,032.37 and 2,164.43 is: 3,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.91 : 11,032.37 = 2,164.43 : x
  2. Step 2: Convert to fraction form
    7,354.91/11,032.37 = 2,164.43/x
  3. Step 3: Cross multiply
    7,354.91x = 11,032.37 × 2,164.43
  4. Step 4: Simplify right side
    7,354.91x = 23,878,792.60
  5. Step 5: Solve for x
    x = 23,878,792.60/7,354.91
  6. Step 6: Final answer
    x = 3,246.65

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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.