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Finding the Fourth Proportional to 10,683.48, 14,732.10 and 7,713.48

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Solution

The fourth proportional to 10,683.48, 14,732.10 and 7,713.48 is: 10,636.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.48 : 14,732.10 = 7,713.48 : x
  2. Step 2: Convert to fraction form
    10,683.48/14,732.10 = 7,713.48/x
  3. Step 3: Cross multiply
    10,683.48x = 14,732.10 × 7,713.48
  4. Step 4: Simplify right side
    10,683.48x = 113,635,758.71
  5. Step 5: Solve for x
    x = 113,635,758.71/10,683.48
  6. Step 6: Final answer
    x = 10,636.59

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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.