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Finding the Fourth Proportional to 10,729.80, 16,094.70 and 9,808.20

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Solution

The fourth proportional to 10,729.80, 16,094.70 and 9,808.20 is: 14,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.80 : 16,094.70 = 9,808.20 : x
  2. Step 2: Convert to fraction form
    10,729.80/16,094.70 = 9,808.20/x
  3. Step 3: Cross multiply
    10,729.80x = 16,094.70 × 9,808.20
  4. Step 4: Simplify right side
    10,729.80x = 157,860,036.54
  5. Step 5: Solve for x
    x = 157,860,036.54/10,729.80
  6. Step 6: Final answer
    x = 14,712.30

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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.