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Finding the Fourth Proportional to 17,171, 23,688.64 and 10,793.16

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Solution

The fourth proportional to 17,171, 23,688.64 and 10,793.16 is: 14,889.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,171 : 23,688.64 = 10,793.16 : x
  2. Step 2: Convert to fraction form
    17,171/23,688.64 = 10,793.16/x
  3. Step 3: Cross multiply
    17,171x = 23,688.64 × 10,793.16
  4. Step 4: Simplify right side
    17,171x = 255,675,281.70
  5. Step 5: Solve for x
    x = 255,675,281.70/17,171
  6. Step 6: Final answer
    x = 14,889.95

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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.