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Finding the Fourth Proportional to 6,095.96, 9,133.43 and 4,117.22

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Solution

The fourth proportional to 6,095.96, 9,133.43 and 4,117.22 is: 6,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.96 : 9,133.43 = 4,117.22 : x
  2. Step 2: Convert to fraction form
    6,095.96/9,133.43 = 4,117.22/x
  3. Step 3: Cross multiply
    6,095.96x = 9,133.43 × 4,117.22
  4. Step 4: Simplify right side
    6,095.96x = 37,604,340.66
  5. Step 5: Solve for x
    x = 37,604,340.66/6,095.96
  6. Step 6: Final answer
    x = 6,168.73

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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.