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Finding the Fourth Proportional to 10,982.70, 16,478.10 and 10,577.70

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Solution

The fourth proportional to 10,982.70, 16,478.10 and 10,577.70 is: 15,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.70 : 16,478.10 = 10,577.70 : x
  2. Step 2: Convert to fraction form
    10,982.70/16,478.10 = 10,577.70/x
  3. Step 3: Cross multiply
    10,982.70x = 16,478.10 × 10,577.70
  4. Step 4: Simplify right side
    10,982.70x = 174,300,398.37
  5. Step 5: Solve for x
    x = 174,300,398.37/10,982.70
  6. Step 6: Final answer
    x = 15,870.45

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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.