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Finding the Fourth Proportional to 10,311, 14,229.11 and 5,595.29

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Solution

The fourth proportional to 10,311, 14,229.11 and 5,595.29 is: 7,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311 : 14,229.11 = 5,595.29 : x
  2. Step 2: Convert to fraction form
    10,311/14,229.11 = 5,595.29/x
  3. Step 3: Cross multiply
    10,311x = 14,229.11 × 5,595.29
  4. Step 4: Simplify right side
    10,311x = 79,615,897.77
  5. Step 5: Solve for x
    x = 79,615,897.77/10,311
  6. Step 6: Final answer
    x = 7,721.45

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1.5x scale

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.