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Finding the Fourth Proportional to 11,203, 15,460.50 and 6,166.96

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Solution

The fourth proportional to 11,203, 15,460.50 and 6,166.96 is: 8,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203 : 15,460.50 = 6,166.96 : x
  2. Step 2: Convert to fraction form
    11,203/15,460.50 = 6,166.96/x
  3. Step 3: Cross multiply
    11,203x = 15,460.50 × 6,166.96
  4. Step 4: Simplify right side
    11,203x = 95,344,285.08
  5. Step 5: Solve for x
    x = 95,344,285.08/11,203
  6. Step 6: Final answer
    x = 8,510.60

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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.