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Finding the Fourth Proportional to 7,844.07, 11,765.08 and 2,000.32

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Solution

The fourth proportional to 7,844.07, 11,765.08 and 2,000.32 is: 3,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.07 : 11,765.08 = 2,000.32 : x
  2. Step 2: Convert to fraction form
    7,844.07/11,765.08 = 2,000.32/x
  3. Step 3: Cross multiply
    7,844.07x = 11,765.08 × 2,000.32
  4. Step 4: Simplify right side
    7,844.07x = 23,533,924.83
  5. Step 5: Solve for x
    x = 23,533,924.83/7,844.07
  6. Step 6: Final answer
    x = 3,000.22

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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.