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Finding the Fourth Proportional to 11,683.76, 16,123.20 and 6,965.60

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Solution

The fourth proportional to 11,683.76, 16,123.20 and 6,965.60 is: 9,612.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.76 : 16,123.20 = 6,965.60 : x
  2. Step 2: Convert to fraction form
    11,683.76/16,123.20 = 6,965.60/x
  3. Step 3: Cross multiply
    11,683.76x = 16,123.20 × 6,965.60
  4. Step 4: Simplify right side
    11,683.76x = 112,307,761.92
  5. Step 5: Solve for x
    x = 112,307,761.92/11,683.76
  6. Step 6: Final answer
    x = 9,612.30

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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.