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Finding the Fourth Proportional to 8,274.92, 11,406.24 and 6,503.48

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Solution

The fourth proportional to 8,274.92, 11,406.24 and 6,503.48 is: 8,964.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.92 : 11,406.24 = 6,503.48 : x
  2. Step 2: Convert to fraction form
    8,274.92/11,406.24 = 6,503.48/x
  3. Step 3: Cross multiply
    8,274.92x = 11,406.24 × 6,503.48
  4. Step 4: Simplify right side
    8,274.92x = 74,180,253.72
  5. Step 5: Solve for x
    x = 74,180,253.72/8,274.92
  6. Step 6: Final answer
    x = 8,964.47

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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.