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Finding the Fourth Proportional to 11,683.70, 16,123.74 and 6,378.74

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Solution

The fourth proportional to 11,683.70, 16,123.74 and 6,378.74 is: 8,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.70 : 16,123.74 = 6,378.74 : x
  2. Step 2: Convert to fraction form
    11,683.70/16,123.74 = 6,378.74/x
  3. Step 3: Cross multiply
    11,683.70x = 16,123.74 × 6,378.74
  4. Step 4: Simplify right side
    11,683.70x = 102,849,145.29
  5. Step 5: Solve for x
    x = 102,849,145.29/11,683.70
  6. Step 6: Final answer
    x = 8,802.79

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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.