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Finding the Fourth Proportional to 9,242.55, 13,926.19 and 7,635.09

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Solution

The fourth proportional to 9,242.55, 13,926.19 and 7,635.09 is: 11,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.55 : 13,926.19 = 7,635.09 : x
  2. Step 2: Convert to fraction form
    9,242.55/13,926.19 = 7,635.09/x
  3. Step 3: Cross multiply
    9,242.55x = 13,926.19 × 7,635.09
  4. Step 4: Simplify right side
    9,242.55x = 106,327,675.83
  5. Step 5: Solve for x
    x = 106,327,675.83/9,242.55
  6. Step 6: Final answer
    x = 11,504.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.