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Finding the Fourth Proportional to 12,309.66, 16,989.29 and 7,006.19

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Solution

The fourth proportional to 12,309.66, 16,989.29 and 7,006.19 is: 9,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.66 : 16,989.29 = 7,006.19 : x
  2. Step 2: Convert to fraction form
    12,309.66/16,989.29 = 7,006.19/x
  3. Step 3: Cross multiply
    12,309.66x = 16,989.29 × 7,006.19
  4. Step 4: Simplify right side
    12,309.66x = 119,030,073.73
  5. Step 5: Solve for x
    x = 119,030,073.73/12,309.66
  6. Step 6: Final answer
    x = 9,669.65

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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.