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Finding the Fourth Proportional to 6,404.32, 9,607.64 and 3,117.41

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Solution

The fourth proportional to 6,404.32, 9,607.64 and 3,117.41 is: 4,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.32 : 9,607.64 = 3,117.41 : x
  2. Step 2: Convert to fraction form
    6,404.32/9,607.64 = 3,117.41/x
  3. Step 3: Cross multiply
    6,404.32x = 9,607.64 × 3,117.41
  4. Step 4: Simplify right side
    6,404.32x = 29,950,953.01
  5. Step 5: Solve for x
    x = 29,950,953.01/6,404.32
  6. Step 6: Final answer
    x = 4,676.68

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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.