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Finding the Fourth Proportional to 7,706.98, 11,560.25 and 2,085.19

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Solution

The fourth proportional to 7,706.98, 11,560.25 and 2,085.19 is: 3,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.98 : 11,560.25 = 2,085.19 : x
  2. Step 2: Convert to fraction form
    7,706.98/11,560.25 = 2,085.19/x
  3. Step 3: Cross multiply
    7,706.98x = 11,560.25 × 2,085.19
  4. Step 4: Simplify right side
    7,706.98x = 24,105,294.01
  5. Step 5: Solve for x
    x = 24,105,294.01/7,706.98
  6. Step 6: Final answer
    x = 3,127.72

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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.