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Finding the Fourth Proportional to 15,887.04, 21,924 and 8,813.49

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Solution

The fourth proportional to 15,887.04, 21,924 and 8,813.49 is: 12,162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.04 : 21,924 = 8,813.49 : x
  2. Step 2: Convert to fraction form
    15,887.04/21,924 = 8,813.49/x
  3. Step 3: Cross multiply
    15,887.04x = 21,924 × 8,813.49
  4. Step 4: Simplify right side
    15,887.04x = 193,226,954.76
  5. Step 5: Solve for x
    x = 193,226,954.76/15,887.04
  6. Step 6: Final answer
    x = 12,162.55

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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.