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Finding the Fourth Proportional to 15,858.22, 21,884.06 and 8,784.50

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Solution

The fourth proportional to 15,858.22, 21,884.06 and 8,784.50 is: 12,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.22 : 21,884.06 = 8,784.50 : x
  2. Step 2: Convert to fraction form
    15,858.22/21,884.06 = 8,784.50/x
  3. Step 3: Cross multiply
    15,858.22x = 21,884.06 × 8,784.50
  4. Step 4: Simplify right side
    15,858.22x = 192,240,525.07
  5. Step 5: Solve for x
    x = 192,240,525.07/15,858.22
  6. Step 6: Final answer
    x = 12,122.45

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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.