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Finding the Fourth Proportional to 7,683.70, 10,601.71 and 6,002.14

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Solution

The fourth proportional to 7,683.70, 10,601.71 and 6,002.14 is: 8,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.70 : 10,601.71 = 6,002.14 : x
  2. Step 2: Convert to fraction form
    7,683.70/10,601.71 = 6,002.14/x
  3. Step 3: Cross multiply
    7,683.70x = 10,601.71 × 6,002.14
  4. Step 4: Simplify right side
    7,683.70x = 63,632,947.66
  5. Step 5: Solve for x
    x = 63,632,947.66/7,683.70
  6. Step 6: Final answer
    x = 8,281.55

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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.