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Finding the Fourth Proportional to 12,804.63, 19,209.27 and 6,230.82

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Solution

The fourth proportional to 12,804.63, 19,209.27 and 6,230.82 is: 9,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.63 : 19,209.27 = 6,230.82 : x
  2. Step 2: Convert to fraction form
    12,804.63/19,209.27 = 6,230.82/x
  3. Step 3: Cross multiply
    12,804.63x = 19,209.27 × 6,230.82
  4. Step 4: Simplify right side
    12,804.63x = 119,689,503.70
  5. Step 5: Solve for x
    x = 119,689,503.70/12,804.63
  6. Step 6: Final answer
    x = 9,347.36

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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.