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Finding the Fourth Proportional to 11,952.37, 16,494.80 and 6,916.83

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Solution

The fourth proportional to 11,952.37, 16,494.80 and 6,916.83 is: 9,545.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.37 : 16,494.80 = 6,916.83 : x
  2. Step 2: Convert to fraction form
    11,952.37/16,494.80 = 6,916.83/x
  3. Step 3: Cross multiply
    11,952.37x = 16,494.80 × 6,916.83
  4. Step 4: Simplify right side
    11,952.37x = 114,091,727.48
  5. Step 5: Solve for x
    x = 114,091,727.48/11,952.37
  6. Step 6: Final answer
    x = 9,545.53

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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.