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Finding the Fourth Proportional to 7,602.42, 11,402.74 and 2,055.42

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Solution

The fourth proportional to 7,602.42, 11,402.74 and 2,055.42 is: 3,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.42 : 11,402.74 = 2,055.42 : x
  2. Step 2: Convert to fraction form
    7,602.42/11,402.74 = 2,055.42/x
  3. Step 3: Cross multiply
    7,602.42x = 11,402.74 × 2,055.42
  4. Step 4: Simplify right side
    7,602.42x = 23,437,419.85
  5. Step 5: Solve for x
    x = 23,437,419.85/7,602.42
  6. Step 6: Final answer
    x = 3,082.89

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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.