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Finding the Fourth Proportional to 11,993.68, 17,869.93 and 11,323

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Solution

The fourth proportional to 11,993.68, 17,869.93 and 11,323 is: 16,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.68 : 17,869.93 = 11,323 : x
  2. Step 2: Convert to fraction form
    11,993.68/17,869.93 = 11,323/x
  3. Step 3: Cross multiply
    11,993.68x = 17,869.93 × 11,323
  4. Step 4: Simplify right side
    11,993.68x = 202,341,217.39
  5. Step 5: Solve for x
    x = 202,341,217.39/11,993.68
  6. Step 6: Final answer
    x = 16,870.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.