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Finding the Fourth Proportional to 7,602.69, 11,403.93 and 2,408.58

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Solution

The fourth proportional to 7,602.69, 11,403.93 and 2,408.58 is: 3,612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.69 : 11,403.93 = 2,408.58 : x
  2. Step 2: Convert to fraction form
    7,602.69/11,403.93 = 2,408.58/x
  3. Step 3: Cross multiply
    7,602.69x = 11,403.93 × 2,408.58
  4. Step 4: Simplify right side
    7,602.69x = 27,467,277.72
  5. Step 5: Solve for x
    x = 27,467,277.72/7,602.69
  6. Step 6: Final answer
    x = 3,612.84

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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.