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Finding the Fourth Proportional to 7,706.46, 11,503.94 and 6,772.30

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Solution

The fourth proportional to 7,706.46, 11,503.94 and 6,772.30 is: 10,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.46 : 11,503.94 = 6,772.30 : x
  2. Step 2: Convert to fraction form
    7,706.46/11,503.94 = 6,772.30/x
  3. Step 3: Cross multiply
    7,706.46x = 11,503.94 × 6,772.30
  4. Step 4: Simplify right side
    7,706.46x = 77,908,108.33
  5. Step 5: Solve for x
    x = 77,908,108.33/7,706.46
  6. Step 6: Final answer
    x = 10,109.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.