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Finding the Fourth Proportional to 6,609.65, 9,916.76 and 4,141.55

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Solution

The fourth proportional to 6,609.65, 9,916.76 and 4,141.55 is: 6,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.65 : 9,916.76 = 4,141.55 : x
  2. Step 2: Convert to fraction form
    6,609.65/9,916.76 = 4,141.55/x
  3. Step 3: Cross multiply
    6,609.65x = 9,916.76 × 4,141.55
  4. Step 4: Simplify right side
    6,609.65x = 41,070,792.52
  5. Step 5: Solve for x
    x = 41,070,792.52/6,609.65
  6. Step 6: Final answer
    x = 6,213.77

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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.