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Finding the Fourth Proportional to 6,446.44, 9,656.85 and 4,248.51

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Solution

The fourth proportional to 6,446.44, 9,656.85 and 4,248.51 is: 6,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.44 : 9,656.85 = 4,248.51 : x
  2. Step 2: Convert to fraction form
    6,446.44/9,656.85 = 4,248.51/x
  3. Step 3: Cross multiply
    6,446.44x = 9,656.85 × 4,248.51
  4. Step 4: Simplify right side
    6,446.44x = 41,027,223.79
  5. Step 5: Solve for x
    x = 41,027,223.79/6,446.44
  6. Step 6: Final answer
    x = 6,364.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.