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Finding the Fourth Proportional to 14,611.70, 20,164.24 and 7,897.31

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Solution

The fourth proportional to 14,611.70, 20,164.24 and 7,897.31 is: 10,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.70 : 20,164.24 = 7,897.31 : x
  2. Step 2: Convert to fraction form
    14,611.70/20,164.24 = 7,897.31/x
  3. Step 3: Cross multiply
    14,611.70x = 20,164.24 × 7,897.31
  4. Step 4: Simplify right side
    14,611.70x = 159,243,214.71
  5. Step 5: Solve for x
    x = 159,243,214.71/14,611.70
  6. Step 6: Final answer
    x = 10,898.34

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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.