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Finding the Fourth Proportional to 15,887.16, 21,924 and 8,813.46

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Solution

The fourth proportional to 15,887.16, 21,924 and 8,813.46 is: 12,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.16 : 21,924 = 8,813.46 : x
  2. Step 2: Convert to fraction form
    15,887.16/21,924 = 8,813.46/x
  3. Step 3: Cross multiply
    15,887.16x = 21,924 × 8,813.46
  4. Step 4: Simplify right side
    15,887.16x = 193,226,297.04
  5. Step 5: Solve for x
    x = 193,226,297.04/15,887.16
  6. Step 6: Final answer
    x = 12,162.42

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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.