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Finding the Fourth Proportional to 9,242.76, 13,864.12 and 3,697.40

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Solution

The fourth proportional to 9,242.76, 13,864.12 and 3,697.40 is: 5,546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.76 : 13,864.12 = 3,697.40 : x
  2. Step 2: Convert to fraction form
    9,242.76/13,864.12 = 3,697.40/x
  3. Step 3: Cross multiply
    9,242.76x = 13,864.12 × 3,697.40
  4. Step 4: Simplify right side
    9,242.76x = 51,261,197.29
  5. Step 5: Solve for x
    x = 51,261,197.29/9,242.76
  6. Step 6: Final answer
    x = 5,546.09

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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.