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Finding the Fourth Proportional to 6,417.59, 9,623.30 and 3,295.98

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Solution

The fourth proportional to 6,417.59, 9,623.30 and 3,295.98 is: 4,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.59 : 9,623.30 = 3,295.98 : x
  2. Step 2: Convert to fraction form
    6,417.59/9,623.30 = 3,295.98/x
  3. Step 3: Cross multiply
    6,417.59x = 9,623.30 × 3,295.98
  4. Step 4: Simplify right side
    6,417.59x = 31,718,187.85
  5. Step 5: Solve for x
    x = 31,718,187.85/6,417.59
  6. Step 6: Final answer
    x = 4,942.39

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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.