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Finding the Fourth Proportional to 6,206.72, 9,299.12 and 6,053.64

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Solution

The fourth proportional to 6,206.72, 9,299.12 and 6,053.64 is: 9,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.72 : 9,299.12 = 6,053.64 : x
  2. Step 2: Convert to fraction form
    6,206.72/9,299.12 = 6,053.64/x
  3. Step 3: Cross multiply
    6,206.72x = 9,299.12 × 6,053.64
  4. Step 4: Simplify right side
    6,206.72x = 56,293,524.80
  5. Step 5: Solve for x
    x = 56,293,524.80/6,206.72
  6. Step 6: Final answer
    x = 9,069.77

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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.