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Finding the Fourth Proportional to 10,742.40, 16,113.60 and 9,446.40

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Solution

The fourth proportional to 10,742.40, 16,113.60 and 9,446.40 is: 14,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.40 : 16,113.60 = 9,446.40 : x
  2. Step 2: Convert to fraction form
    10,742.40/16,113.60 = 9,446.40/x
  3. Step 3: Cross multiply
    10,742.40x = 16,113.60 × 9,446.40
  4. Step 4: Simplify right side
    10,742.40x = 152,215,511.04
  5. Step 5: Solve for x
    x = 152,215,511.04/10,742.40
  6. Step 6: Final answer
    x = 14,169.60

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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.