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Finding the Fourth Proportional to 6,109.98, 9,174.99 and 5,798.34

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Solution

The fourth proportional to 6,109.98, 9,174.99 and 5,798.34 is: 8,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.98 : 9,174.99 = 5,798.34 : x
  2. Step 2: Convert to fraction form
    6,109.98/9,174.99 = 5,798.34/x
  3. Step 3: Cross multiply
    6,109.98x = 9,174.99 × 5,798.34
  4. Step 4: Simplify right side
    6,109.98x = 53,199,711.52
  5. Step 5: Solve for x
    x = 53,199,711.52/6,109.98
  6. Step 6: Final answer
    x = 8,707.02

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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.