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Finding the Fourth Proportional to 7,006.59, 10,495.80 and 3,485.97

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Solution

The fourth proportional to 7,006.59, 10,495.80 and 3,485.97 is: 5,221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.59 : 10,495.80 = 3,485.97 : x
  2. Step 2: Convert to fraction form
    7,006.59/10,495.80 = 3,485.97/x
  3. Step 3: Cross multiply
    7,006.59x = 10,495.80 × 3,485.97
  4. Step 4: Simplify right side
    7,006.59x = 36,588,043.93
  5. Step 5: Solve for x
    x = 36,588,043.93/7,006.59
  6. Step 6: Final answer
    x = 5,221.95

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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.