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Finding the Fourth Proportional to 7,601.93, 11,387 and 6,113.10

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Solution

The fourth proportional to 7,601.93, 11,387 and 6,113.10 is: 9,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.93 : 11,387 = 6,113.10 : x
  2. Step 2: Convert to fraction form
    7,601.93/11,387 = 6,113.10/x
  3. Step 3: Cross multiply
    7,601.93x = 11,387 × 6,113.10
  4. Step 4: Simplify right side
    7,601.93x = 69,609,869.70
  5. Step 5: Solve for x
    x = 69,609,869.70/7,601.93
  6. Step 6: Final answer
    x = 9,156.87

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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.