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Finding the Fourth Proportional to 8,666.37, 11,964.02 and 6,009.17

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Solution

The fourth proportional to 8,666.37, 11,964.02 and 6,009.17 is: 8,295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.37 : 11,964.02 = 6,009.17 : x
  2. Step 2: Convert to fraction form
    8,666.37/11,964.02 = 6,009.17/x
  3. Step 3: Cross multiply
    8,666.37x = 11,964.02 × 6,009.17
  4. Step 4: Simplify right side
    8,666.37x = 71,893,740.20
  5. Step 5: Solve for x
    x = 71,893,740.20/8,666.37
  6. Step 6: Final answer
    x = 8,295.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.