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Finding the Fourth Proportional to 7,757.89, 10,706.07 and 4,400.93

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Solution

The fourth proportional to 7,757.89, 10,706.07 and 4,400.93 is: 6,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.89 : 10,706.07 = 4,400.93 : x
  2. Step 2: Convert to fraction form
    7,757.89/10,706.07 = 4,400.93/x
  3. Step 3: Cross multiply
    7,757.89x = 10,706.07 × 4,400.93
  4. Step 4: Simplify right side
    7,757.89x = 47,116,664.65
  5. Step 5: Solve for x
    x = 47,116,664.65/7,757.89
  6. Step 6: Final answer
    x = 6,073.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.