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Finding the Fourth Proportional to 7,702.74, 11,554.11 and 3,082.50

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Solution

The fourth proportional to 7,702.74, 11,554.11 and 3,082.50 is: 4,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.74 : 11,554.11 = 3,082.50 : x
  2. Step 2: Convert to fraction form
    7,702.74/11,554.11 = 3,082.50/x
  3. Step 3: Cross multiply
    7,702.74x = 11,554.11 × 3,082.50
  4. Step 4: Simplify right side
    7,702.74x = 35,615,544.08
  5. Step 5: Solve for x
    x = 35,615,544.08/7,702.74
  6. Step 6: Final answer
    x = 4,623.75

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Similar ratio
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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.