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Finding the Fourth Proportional to 8,002.14, 11,047 and 5,022.36

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Solution

The fourth proportional to 8,002.14, 11,047 and 5,022.36 is: 6,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.14 : 11,047 = 5,022.36 : x
  2. Step 2: Convert to fraction form
    8,002.14/11,047 = 5,022.36/x
  3. Step 3: Cross multiply
    8,002.14x = 11,047 × 5,022.36
  4. Step 4: Simplify right side
    8,002.14x = 55,482,010.92
  5. Step 5: Solve for x
    x = 55,482,010.92/8,002.14
  6. Step 6: Final answer
    x = 6,933.40

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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.