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Finding the Fourth Proportional to 22,984.90, 34,477.35 and 8,194.30

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Solution

The fourth proportional to 22,984.90, 34,477.35 and 8,194.30 is: 12,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.90 : 34,477.35 = 8,194.30 : x
  2. Step 2: Convert to fraction form
    22,984.90/34,477.35 = 8,194.30/x
  3. Step 3: Cross multiply
    22,984.90x = 34,477.35 × 8,194.30
  4. Step 4: Simplify right side
    22,984.90x = 282,517,749.11
  5. Step 5: Solve for x
    x = 282,517,749.11/22,984.90
  6. Step 6: Final answer
    x = 12,291.45

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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.