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Finding the Fourth Proportional to 7,805.00, 11,706.08 and 2,256.98

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Solution

The fourth proportional to 7,805.00, 11,706.08 and 2,256.98 is: 3,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.00 : 11,706.08 = 2,256.98 : x
  2. Step 2: Convert to fraction form
    7,805.00/11,706.08 = 2,256.98/x
  3. Step 3: Cross multiply
    7,805.00x = 11,706.08 × 2,256.98
  4. Step 4: Simplify right side
    7,805.00x = 26,420,318.62
  5. Step 5: Solve for x
    x = 26,420,318.62/7,805.00
  6. Step 6: Final answer
    x = 3,385.05

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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.