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Finding the Fourth Proportional to 6,972, 10,461.60 and 4,633.62

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Solution

The fourth proportional to 6,972, 10,461.60 and 4,633.62 is: 6,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 10,461.60 = 4,633.62 : x
  2. Step 2: Convert to fraction form
    6,972/10,461.60 = 4,633.62/x
  3. Step 3: Cross multiply
    6,972x = 10,461.60 × 4,633.62
  4. Step 4: Simplify right side
    6,972x = 48,475,078.99
  5. Step 5: Solve for x
    x = 48,475,078.99/6,972
  6. Step 6: Final answer
    x = 6,952.82

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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.