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Finding the Fourth Proportional to 9,446.10, 14,169.06 and 2,520.06

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Solution

The fourth proportional to 9,446.10, 14,169.06 and 2,520.06 is: 3,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.10 : 14,169.06 = 2,520.06 : x
  2. Step 2: Convert to fraction form
    9,446.10/14,169.06 = 2,520.06/x
  3. Step 3: Cross multiply
    9,446.10x = 14,169.06 × 2,520.06
  4. Step 4: Simplify right side
    9,446.10x = 35,706,881.34
  5. Step 5: Solve for x
    x = 35,706,881.34/9,446.10
  6. Step 6: Final answer
    x = 3,780.07

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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.