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Finding the Fourth Proportional to 7,529.50, 11,294.25 and 2,057.50

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Solution

The fourth proportional to 7,529.50, 11,294.25 and 2,057.50 is: 3,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529.50 : 11,294.25 = 2,057.50 : x
  2. Step 2: Convert to fraction form
    7,529.50/11,294.25 = 2,057.50/x
  3. Step 3: Cross multiply
    7,529.50x = 11,294.25 × 2,057.50
  4. Step 4: Simplify right side
    7,529.50x = 23,237,919.38
  5. Step 5: Solve for x
    x = 23,237,919.38/7,529.50
  6. Step 6: Final answer
    x = 3,086.25

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Double scale
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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.