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Finding the Fourth Proportional to 6,907, 10,360.53 and 2,290

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Solution

The fourth proportional to 6,907, 10,360.53 and 2,290 is: 3,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907 : 10,360.53 = 2,290 : x
  2. Step 2: Convert to fraction form
    6,907/10,360.53 = 2,290/x
  3. Step 3: Cross multiply
    6,907x = 10,360.53 × 2,290
  4. Step 4: Simplify right side
    6,907x = 23,725,613.70
  5. Step 5: Solve for x
    x = 23,725,613.70/6,907
  6. Step 6: Final answer
    x = 3,435.01

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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.