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Finding the Fourth Proportional to 12,314.96, 16,995.50 and 7,009.77

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Solution

The fourth proportional to 12,314.96, 16,995.50 and 7,009.77 is: 9,673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.96 : 16,995.50 = 7,009.77 : x
  2. Step 2: Convert to fraction form
    12,314.96/16,995.50 = 7,009.77/x
  3. Step 3: Cross multiply
    12,314.96x = 16,995.50 × 7,009.77
  4. Step 4: Simplify right side
    12,314.96x = 119,134,546.04
  5. Step 5: Solve for x
    x = 119,134,546.04/12,314.96
  6. Step 6: Final answer
    x = 9,673.97

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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.