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Finding the Fourth Proportional to 6,854.25, 9,455.22 and 4,612.32

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Solution

The fourth proportional to 6,854.25, 9,455.22 and 4,612.32 is: 6,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.25 : 9,455.22 = 4,612.32 : x
  2. Step 2: Convert to fraction form
    6,854.25/9,455.22 = 4,612.32/x
  3. Step 3: Cross multiply
    6,854.25x = 9,455.22 × 4,612.32
  4. Step 4: Simplify right side
    6,854.25x = 43,610,500.31
  5. Step 5: Solve for x
    x = 43,610,500.31/6,854.25
  6. Step 6: Final answer
    x = 6,362.55

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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.