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Finding the Fourth Proportional to 9,683.69, 14,517.02 and 6,389.82

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Solution

The fourth proportional to 9,683.69, 14,517.02 and 6,389.82 is: 9,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.69 : 14,517.02 = 6,389.82 : x
  2. Step 2: Convert to fraction form
    9,683.69/14,517.02 = 6,389.82/x
  3. Step 3: Cross multiply
    9,683.69x = 14,517.02 × 6,389.82
  4. Step 4: Simplify right side
    9,683.69x = 92,761,160.71
  5. Step 5: Solve for x
    x = 92,761,160.71/9,683.69
  6. Step 6: Final answer
    x = 9,579.12

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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.