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Finding the Fourth Proportional to 12,806.64, 19,212.28 and 6,232.82

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Solution

The fourth proportional to 12,806.64, 19,212.28 and 6,232.82 is: 9,350.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.64 : 19,212.28 = 6,232.82 : x
  2. Step 2: Convert to fraction form
    12,806.64/19,212.28 = 6,232.82/x
  3. Step 3: Cross multiply
    12,806.64x = 19,212.28 × 6,232.82
  4. Step 4: Simplify right side
    12,806.64x = 119,746,683.03
  5. Step 5: Solve for x
    x = 119,746,683.03/12,806.64
  6. Step 6: Final answer
    x = 9,350.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.