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Finding the Fourth Proportional to 6,105.70, 8,417.91 and 6,023.08

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Solution

The fourth proportional to 6,105.70, 8,417.91 and 6,023.08 is: 8,304.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.70 : 8,417.91 = 6,023.08 : x
  2. Step 2: Convert to fraction form
    6,105.70/8,417.91 = 6,023.08/x
  3. Step 3: Cross multiply
    6,105.70x = 8,417.91 × 6,023.08
  4. Step 4: Simplify right side
    6,105.70x = 50,701,745.36
  5. Step 5: Solve for x
    x = 50,701,745.36/6,105.70
  6. Step 6: Final answer
    x = 8,304.00

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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.