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Finding the Fourth Proportional to 10,367.85, 14,309.94 and 6,590.28

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Solution

The fourth proportional to 10,367.85, 14,309.94 and 6,590.28 is: 9,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.85 : 14,309.94 = 6,590.28 : x
  2. Step 2: Convert to fraction form
    10,367.85/14,309.94 = 6,590.28/x
  3. Step 3: Cross multiply
    10,367.85x = 14,309.94 × 6,590.28
  4. Step 4: Simplify right side
    10,367.85x = 94,306,511.38
  5. Step 5: Solve for x
    x = 94,306,511.38/10,367.85
  6. Step 6: Final answer
    x = 9,096.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.