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Finding the Fourth Proportional to 14,642.78, 21,968.15 and 5,883.84

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Solution

The fourth proportional to 14,642.78, 21,968.15 and 5,883.84 is: 8,827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.78 : 21,968.15 = 5,883.84 : x
  2. Step 2: Convert to fraction form
    14,642.78/21,968.15 = 5,883.84/x
  3. Step 3: Cross multiply
    14,642.78x = 21,968.15 × 5,883.84
  4. Step 4: Simplify right side
    14,642.78x = 129,257,050.28
  5. Step 5: Solve for x
    x = 129,257,050.28/14,642.78
  6. Step 6: Final answer
    x = 8,827.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.