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Finding the Fourth Proportional to 14,497.76, 20,009.04 and 9,193.10

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Solution

The fourth proportional to 14,497.76, 20,009.04 and 9,193.10 is: 12,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.76 : 20,009.04 = 9,193.10 : x
  2. Step 2: Convert to fraction form
    14,497.76/20,009.04 = 9,193.10/x
  3. Step 3: Cross multiply
    14,497.76x = 20,009.04 × 9,193.10
  4. Step 4: Simplify right side
    14,497.76x = 183,945,105.62
  5. Step 5: Solve for x
    x = 183,945,105.62/14,497.76
  6. Step 6: Final answer
    x = 12,687.83

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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.