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Finding the Fourth Proportional to 6,404.76, 9,612.63 and 4,560.39

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Solution

The fourth proportional to 6,404.76, 9,612.63 and 4,560.39 is: 6,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.76 : 9,612.63 = 4,560.39 : x
  2. Step 2: Convert to fraction form
    6,404.76/9,612.63 = 4,560.39/x
  3. Step 3: Cross multiply
    6,404.76x = 9,612.63 × 4,560.39
  4. Step 4: Simplify right side
    6,404.76x = 43,837,341.73
  5. Step 5: Solve for x
    x = 43,837,341.73/6,404.76
  6. Step 6: Final answer
    x = 6,844.49

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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.