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Finding the Fourth Proportional to 12,002.32, 18,009.95 and 5,846.32

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Solution

The fourth proportional to 12,002.32, 18,009.95 and 5,846.32 is: 8,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.32 : 18,009.95 = 5,846.32 : x
  2. Step 2: Convert to fraction form
    12,002.32/18,009.95 = 5,846.32/x
  3. Step 3: Cross multiply
    12,002.32x = 18,009.95 × 5,846.32
  4. Step 4: Simplify right side
    12,002.32x = 105,291,901.65
  5. Step 5: Solve for x
    x = 105,291,901.65/12,002.32
  6. Step 6: Final answer
    x = 8,772.63

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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.