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Finding the Fourth Proportional to 10,980.40, 16,446.30 and 9,749.20

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Solution

The fourth proportional to 10,980.40, 16,446.30 and 9,749.20 is: 14,602.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.40 : 16,446.30 = 9,749.20 : x
  2. Step 2: Convert to fraction form
    10,980.40/16,446.30 = 9,749.20/x
  3. Step 3: Cross multiply
    10,980.40x = 16,446.30 × 9,749.20
  4. Step 4: Simplify right side
    10,980.40x = 160,338,267.96
  5. Step 5: Solve for x
    x = 160,338,267.96/10,980.40
  6. Step 6: Final answer
    x = 14,602.22

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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.