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Finding the Fourth Proportional to 6,705.52, 9,254.72 and 3,722.32

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Solution

The fourth proportional to 6,705.52, 9,254.72 and 3,722.32 is: 5,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.52 : 9,254.72 = 3,722.32 : x
  2. Step 2: Convert to fraction form
    6,705.52/9,254.72 = 3,722.32/x
  3. Step 3: Cross multiply
    6,705.52x = 9,254.72 × 3,722.32
  4. Step 4: Simplify right side
    6,705.52x = 34,449,029.35
  5. Step 5: Solve for x
    x = 34,449,029.35/6,705.52
  6. Step 6: Final answer
    x = 5,137.41

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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.