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Finding the Fourth Proportional to 8,814.11, 12,164.03 and 5,824.70

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Solution

The fourth proportional to 8,814.11, 12,164.03 and 5,824.70 is: 8,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.11 : 12,164.03 = 5,824.70 : x
  2. Step 2: Convert to fraction form
    8,814.11/12,164.03 = 5,824.70/x
  3. Step 3: Cross multiply
    8,814.11x = 12,164.03 × 5,824.70
  4. Step 4: Simplify right side
    8,814.11x = 70,851,735.60
  5. Step 5: Solve for x
    x = 70,851,735.60/8,814.11
  6. Step 6: Final answer
    x = 8,038.45

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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.