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Finding the Fourth Proportional to 6,833.46, 9,430.62 and 5,151.90

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Solution

The fourth proportional to 6,833.46, 9,430.62 and 5,151.90 is: 7,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.46 : 9,430.62 = 5,151.90 : x
  2. Step 2: Convert to fraction form
    6,833.46/9,430.62 = 5,151.90/x
  3. Step 3: Cross multiply
    6,833.46x = 9,430.62 × 5,151.90
  4. Step 4: Simplify right side
    6,833.46x = 48,585,611.18
  5. Step 5: Solve for x
    x = 48,585,611.18/6,833.46
  6. Step 6: Final answer
    x = 7,109.96

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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.