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Finding the Fourth Proportional to 9,274.92, 13,829.63 and 8,244.60

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Solution

The fourth proportional to 9,274.92, 13,829.63 and 8,244.60 is: 12,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.92 : 13,829.63 = 8,244.60 : x
  2. Step 2: Convert to fraction form
    9,274.92/13,829.63 = 8,244.60/x
  3. Step 3: Cross multiply
    9,274.92x = 13,829.63 × 8,244.60
  4. Step 4: Simplify right side
    9,274.92x = 114,019,767.50
  5. Step 5: Solve for x
    x = 114,019,767.50/9,274.92
  6. Step 6: Final answer
    x = 12,293.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.