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Finding the Fourth Proportional to 10,930.56, 15,085.56 and 6,213.93

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Solution

The fourth proportional to 10,930.56, 15,085.56 and 6,213.93 is: 8,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.56 : 15,085.56 = 6,213.93 : x
  2. Step 2: Convert to fraction form
    10,930.56/15,085.56 = 6,213.93/x
  3. Step 3: Cross multiply
    10,930.56x = 15,085.56 × 6,213.93
  4. Step 4: Simplify right side
    10,930.56x = 93,740,613.85
  5. Step 5: Solve for x
    x = 93,740,613.85/10,930.56
  6. Step 6: Final answer
    x = 8,576.01

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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.