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Finding the Fourth Proportional to 8,215.57, 12,333.99 and 7,053.13

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Solution

The fourth proportional to 8,215.57, 12,333.99 and 7,053.13 is: 10,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.57 : 12,333.99 = 7,053.13 : x
  2. Step 2: Convert to fraction form
    8,215.57/12,333.99 = 7,053.13/x
  3. Step 3: Cross multiply
    8,215.57x = 12,333.99 × 7,053.13
  4. Step 4: Simplify right side
    8,215.57x = 86,993,234.89
  5. Step 5: Solve for x
    x = 86,993,234.89/8,215.57
  6. Step 6: Final answer
    x = 10,588.83

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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.