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Finding the Fourth Proportional to 11,683.68, 16,123.68 and 6,378.54

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Solution

The fourth proportional to 11,683.68, 16,123.68 and 6,378.54 is: 8,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.68 : 16,123.68 = 6,378.54 : x
  2. Step 2: Convert to fraction form
    11,683.68/16,123.68 = 6,378.54/x
  3. Step 3: Cross multiply
    11,683.68x = 16,123.68 × 6,378.54
  4. Step 4: Simplify right side
    11,683.68x = 102,845,537.83
  5. Step 5: Solve for x
    x = 102,845,537.83/11,683.68
  6. Step 6: Final answer
    x = 8,802.50

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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.