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Finding the Fourth Proportional to 12,314.68, 16,993.62 and 7,009.48

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Solution

The fourth proportional to 12,314.68, 16,993.62 and 7,009.48 is: 9,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.68 : 16,993.62 = 7,009.48 : x
  2. Step 2: Convert to fraction form
    12,314.68/16,993.62 = 7,009.48/x
  3. Step 3: Cross multiply
    12,314.68x = 16,993.62 × 7,009.48
  4. Step 4: Simplify right side
    12,314.68x = 119,116,439.52
  5. Step 5: Solve for x
    x = 119,116,439.52/12,314.68
  6. Step 6: Final answer
    x = 9,672.72

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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.