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Finding the Fourth Proportional to 6,542.16, 9,798.12 and 3,939.36

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Solution

The fourth proportional to 6,542.16, 9,798.12 and 3,939.36 is: 5,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.16 : 9,798.12 = 3,939.36 : x
  2. Step 2: Convert to fraction form
    6,542.16/9,798.12 = 3,939.36/x
  3. Step 3: Cross multiply
    6,542.16x = 9,798.12 × 3,939.36
  4. Step 4: Simplify right side
    6,542.16x = 38,598,322.00
  5. Step 5: Solve for x
    x = 38,598,322.00/6,542.16
  6. Step 6: Final answer
    x = 5,899.94

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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.