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Finding the Fourth Proportional to 11,952, 16,494.72 and 6,984.96

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Solution

The fourth proportional to 11,952, 16,494.72 and 6,984.96 is: 9,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952 : 16,494.72 = 6,984.96 : x
  2. Step 2: Convert to fraction form
    11,952/16,494.72 = 6,984.96/x
  3. Step 3: Cross multiply
    11,952x = 16,494.72 × 6,984.96
  4. Step 4: Simplify right side
    11,952x = 115,214,959.41
  5. Step 5: Solve for x
    x = 115,214,959.41/11,952
  6. Step 6: Final answer
    x = 9,639.81

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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.