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Finding the Fourth Proportional to 7,702.00, 11,555.03 and 3,022.30

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Solution

The fourth proportional to 7,702.00, 11,555.03 and 3,022.30 is: 4,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.00 : 11,555.03 = 3,022.30 : x
  2. Step 2: Convert to fraction form
    7,702.00/11,555.03 = 3,022.30/x
  3. Step 3: Cross multiply
    7,702.00x = 11,555.03 × 3,022.30
  4. Step 4: Simplify right side
    7,702.00x = 34,922,709.39
  5. Step 5: Solve for x
    x = 34,922,709.39/7,702.00
  6. Step 6: Final answer
    x = 4,534.24

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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.