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Finding the Fourth Proportional to 15,855.94, 21,881.01 and 8,782.30

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Solution

The fourth proportional to 15,855.94, 21,881.01 and 8,782.30 is: 12,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.94 : 21,881.01 = 8,782.30 : x
  2. Step 2: Convert to fraction form
    15,855.94/21,881.01 = 8,782.30/x
  3. Step 3: Cross multiply
    15,855.94x = 21,881.01 × 8,782.30
  4. Step 4: Simplify right side
    15,855.94x = 192,165,594.12
  5. Step 5: Solve for x
    x = 192,165,594.12/15,855.94
  6. Step 6: Final answer
    x = 12,119.47

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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.