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Finding the Fourth Proportional to 6,542.01, 9,027.93 and 3,709.92

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Solution

The fourth proportional to 6,542.01, 9,027.93 and 3,709.92 is: 5,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.01 : 9,027.93 = 3,709.92 : x
  2. Step 2: Convert to fraction form
    6,542.01/9,027.93 = 3,709.92/x
  3. Step 3: Cross multiply
    6,542.01x = 9,027.93 × 3,709.92
  4. Step 4: Simplify right side
    6,542.01x = 33,492,898.07
  5. Step 5: Solve for x
    x = 33,492,898.07/6,542.01
  6. Step 6: Final answer
    x = 5,119.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.