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Finding the Fourth Proportional to 8,004.42, 11,998.13 and 4,719.06

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Solution

The fourth proportional to 8,004.42, 11,998.13 and 4,719.06 is: 7,073.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.42 : 11,998.13 = 4,719.06 : x
  2. Step 2: Convert to fraction form
    8,004.42/11,998.13 = 4,719.06/x
  3. Step 3: Cross multiply
    8,004.42x = 11,998.13 × 4,719.06
  4. Step 4: Simplify right side
    8,004.42x = 56,619,871.76
  5. Step 5: Solve for x
    x = 56,619,871.76/8,004.42
  6. Step 6: Final answer
    x = 7,073.58

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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.