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Finding the Fourth Proportional to 6,009.64, 9,002.71 and 4,135.19

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Solution

The fourth proportional to 6,009.64, 9,002.71 and 4,135.19 is: 6,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.64 : 9,002.71 = 4,135.19 : x
  2. Step 2: Convert to fraction form
    6,009.64/9,002.71 = 4,135.19/x
  3. Step 3: Cross multiply
    6,009.64x = 9,002.71 × 4,135.19
  4. Step 4: Simplify right side
    6,009.64x = 37,227,928.53
  5. Step 5: Solve for x
    x = 37,227,928.53/6,009.64
  6. Step 6: Final answer
    x = 6,194.70

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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.