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Finding the Fourth Proportional to 12,311.84, 16,989 and 7,006.16

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Solution

The fourth proportional to 12,311.84, 16,989 and 7,006.16 is: 9,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.84 : 16,989 = 7,006.16 : x
  2. Step 2: Convert to fraction form
    12,311.84/16,989 = 7,006.16/x
  3. Step 3: Cross multiply
    12,311.84x = 16,989 × 7,006.16
  4. Step 4: Simplify right side
    12,311.84x = 119,027,652.24
  5. Step 5: Solve for x
    x = 119,027,652.24/12,311.84
  6. Step 6: Final answer
    x = 9,667.74

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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.