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Finding the Fourth Proportional to 10,983, 16,476.57 and 4,409.70

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Solution

The fourth proportional to 10,983, 16,476.57 and 4,409.70 is: 6,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983 : 16,476.57 = 4,409.70 : x
  2. Step 2: Convert to fraction form
    10,983/16,476.57 = 4,409.70/x
  3. Step 3: Cross multiply
    10,983x = 16,476.57 × 4,409.70
  4. Step 4: Simplify right side
    10,983x = 72,656,730.73
  5. Step 5: Solve for x
    x = 72,656,730.73/10,983
  6. Step 6: Final answer
    x = 6,615.38

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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.