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Finding the Fourth Proportional to 15,855, 21,880.59 and 8,781.45

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Solution

The fourth proportional to 15,855, 21,880.59 and 8,781.45 is: 12,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855 : 21,880.59 = 8,781.45 : x
  2. Step 2: Convert to fraction form
    15,855/21,880.59 = 8,781.45/x
  3. Step 3: Cross multiply
    15,855x = 21,880.59 × 8,781.45
  4. Step 4: Simplify right side
    15,855x = 192,143,307.06
  5. Step 5: Solve for x
    x = 192,143,307.06/15,855
  6. Step 6: Final answer
    x = 12,118.78

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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.