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Finding the Fourth Proportional to 7,549.50, 11,324.25 and 2,077.50

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Solution

The fourth proportional to 7,549.50, 11,324.25 and 2,077.50 is: 3,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.50 : 11,324.25 = 2,077.50 : x
  2. Step 2: Convert to fraction form
    7,549.50/11,324.25 = 2,077.50/x
  3. Step 3: Cross multiply
    7,549.50x = 11,324.25 × 2,077.50
  4. Step 4: Simplify right side
    7,549.50x = 23,526,129.38
  5. Step 5: Solve for x
    x = 23,526,129.38/7,549.50
  6. Step 6: Final answer
    x = 3,116.25

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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.