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Finding the Fourth Proportional to 6,537.16, 9,021.06 and 3,742.12

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Solution

The fourth proportional to 6,537.16, 9,021.06 and 3,742.12 is: 5,164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.16 : 9,021.06 = 3,742.12 : x
  2. Step 2: Convert to fraction form
    6,537.16/9,021.06 = 3,742.12/x
  3. Step 3: Cross multiply
    6,537.16x = 9,021.06 × 3,742.12
  4. Step 4: Simplify right side
    6,537.16x = 33,757,889.05
  5. Step 5: Solve for x
    x = 33,757,889.05/6,537.16
  6. Step 6: Final answer
    x = 5,164.00

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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.