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Finding the Fourth Proportional to 12,306.87, 16,983 and 6,929.19

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Solution

The fourth proportional to 12,306.87, 16,983 and 6,929.19 is: 9,562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,306.87 : 16,983 = 6,929.19 : x
  2. Step 2: Convert to fraction form
    12,306.87/16,983 = 6,929.19/x
  3. Step 3: Cross multiply
    12,306.87x = 16,983 × 6,929.19
  4. Step 4: Simplify right side
    12,306.87x = 117,678,433.77
  5. Step 5: Solve for x
    x = 117,678,433.77/12,306.87
  6. Step 6: Final answer
    x = 9,562.01

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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.