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Finding the Fourth Proportional to 7,494.71, 11,214.32 and 6,009.39

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Solution

The fourth proportional to 7,494.71, 11,214.32 and 6,009.39 is: 8,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.71 : 11,214.32 = 6,009.39 : x
  2. Step 2: Convert to fraction form
    7,494.71/11,214.32 = 6,009.39/x
  3. Step 3: Cross multiply
    7,494.71x = 11,214.32 × 6,009.39
  4. Step 4: Simplify right side
    7,494.71x = 67,391,192.42
  5. Step 5: Solve for x
    x = 67,391,192.42/7,494.71
  6. Step 6: Final answer
    x = 8,991.84

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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.