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Finding the Fourth Proportional to 6,709.41, 9,255.81 and 4,318.74

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Solution

The fourth proportional to 6,709.41, 9,255.81 and 4,318.74 is: 5,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.41 : 9,255.81 = 4,318.74 : x
  2. Step 2: Convert to fraction form
    6,709.41/9,255.81 = 4,318.74/x
  3. Step 3: Cross multiply
    6,709.41x = 9,255.81 × 4,318.74
  4. Step 4: Simplify right side
    6,709.41x = 39,973,436.88
  5. Step 5: Solve for x
    x = 39,973,436.88/6,709.41
  6. Step 6: Final answer
    x = 5,957.82

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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.