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Finding the Fourth Proportional to 6,589.56, 9,091.04 and 4,199.10

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Solution

The fourth proportional to 6,589.56, 9,091.04 and 4,199.10 is: 5,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.56 : 9,091.04 = 4,199.10 : x
  2. Step 2: Convert to fraction form
    6,589.56/9,091.04 = 4,199.10/x
  3. Step 3: Cross multiply
    6,589.56x = 9,091.04 × 4,199.10
  4. Step 4: Simplify right side
    6,589.56x = 38,174,186.06
  5. Step 5: Solve for x
    x = 38,174,186.06/6,589.56
  6. Step 6: Final answer
    x = 5,793.13

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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.