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Finding the Fourth Proportional to 10,683, 14,742.63 and 5,968.26

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Solution

The fourth proportional to 10,683, 14,742.63 and 5,968.26 is: 8,236.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683 : 14,742.63 = 5,968.26 : x
  2. Step 2: Convert to fraction form
    10,683/14,742.63 = 5,968.26/x
  3. Step 3: Cross multiply
    10,683x = 14,742.63 × 5,968.26
  4. Step 4: Simplify right side
    10,683x = 87,987,848.92
  5. Step 5: Solve for x
    x = 87,987,848.92/10,683
  6. Step 6: Final answer
    x = 8,236.25

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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.