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Finding the Fourth Proportional to 12,857.80, 19,265.10 and 6,269.80

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Solution

The fourth proportional to 12,857.80, 19,265.10 and 6,269.80 is: 9,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.80 : 19,265.10 = 6,269.80 : x
  2. Step 2: Convert to fraction form
    12,857.80/19,265.10 = 6,269.80/x
  3. Step 3: Cross multiply
    12,857.80x = 19,265.10 × 6,269.80
  4. Step 4: Simplify right side
    12,857.80x = 120,788,323.98
  5. Step 5: Solve for x
    x = 120,788,323.98/12,857.80
  6. Step 6: Final answer
    x = 9,394.17

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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.