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Finding the Fourth Proportional to 7,563.73, 11,364.13 and 7,144.10

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Solution

The fourth proportional to 7,563.73, 11,364.13 and 7,144.10 is: 10,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.73 : 11,364.13 = 7,144.10 : x
  2. Step 2: Convert to fraction form
    7,563.73/11,364.13 = 7,144.10/x
  3. Step 3: Cross multiply
    7,563.73x = 11,364.13 × 7,144.10
  4. Step 4: Simplify right side
    7,563.73x = 81,186,475.86
  5. Step 5: Solve for x
    x = 81,186,475.86/7,563.73
  6. Step 6: Final answer
    x = 10,733.66

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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.