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Finding the Fourth Proportional to 6,854.52, 9,455.44 and 4,612.44

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Solution

The fourth proportional to 6,854.52, 9,455.44 and 4,612.44 is: 6,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.52 : 9,455.44 = 4,612.44 : x
  2. Step 2: Convert to fraction form
    6,854.52/9,455.44 = 4,612.44/x
  3. Step 3: Cross multiply
    6,854.52x = 9,455.44 × 4,612.44
  4. Step 4: Simplify right side
    6,854.52x = 43,612,649.67
  5. Step 5: Solve for x
    x = 43,612,649.67/6,854.52
  6. Step 6: Final answer
    x = 6,362.61

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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.