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Finding the Fourth Proportional to 10,809.70, 16,201.95 and 4,966.90

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Solution

The fourth proportional to 10,809.70, 16,201.95 and 4,966.90 is: 7,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.70 : 16,201.95 = 4,966.90 : x
  2. Step 2: Convert to fraction form
    10,809.70/16,201.95 = 4,966.90/x
  3. Step 3: Cross multiply
    10,809.70x = 16,201.95 × 4,966.90
  4. Step 4: Simplify right side
    10,809.70x = 80,473,465.46
  5. Step 5: Solve for x
    x = 80,473,465.46/10,809.70
  6. Step 6: Final answer
    x = 7,444.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.