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Finding the Fourth Proportional to 9,266.40, 13,900.20 and 4,892.40

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Solution

The fourth proportional to 9,266.40, 13,900.20 and 4,892.40 is: 7,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.40 : 13,900.20 = 4,892.40 : x
  2. Step 2: Convert to fraction form
    9,266.40/13,900.20 = 4,892.40/x
  3. Step 3: Cross multiply
    9,266.40x = 13,900.20 × 4,892.40
  4. Step 4: Simplify right side
    9,266.40x = 68,005,338.48
  5. Step 5: Solve for x
    x = 68,005,338.48/9,266.40
  6. Step 6: Final answer
    x = 7,338.92

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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.