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Finding the Fourth Proportional to 7,361.64, 10,135.92 and 6,498.39

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Solution

The fourth proportional to 7,361.64, 10,135.92 and 6,498.39 is: 8,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.64 : 10,135.92 = 6,498.39 : x
  2. Step 2: Convert to fraction form
    7,361.64/10,135.92 = 6,498.39/x
  3. Step 3: Cross multiply
    7,361.64x = 10,135.92 × 6,498.39
  4. Step 4: Simplify right side
    7,361.64x = 65,867,161.17
  5. Step 5: Solve for x
    x = 65,867,161.17/7,361.64
  6. Step 6: Final answer
    x = 8,947.35

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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.