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Finding the Fourth Proportional to 7,597.82, 11,400.82 and 3,702.23

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Solution

The fourth proportional to 7,597.82, 11,400.82 and 3,702.23 is: 5,555.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.82 : 11,400.82 = 3,702.23 : x
  2. Step 2: Convert to fraction form
    7,597.82/11,400.82 = 3,702.23/x
  3. Step 3: Cross multiply
    7,597.82x = 11,400.82 × 3,702.23
  4. Step 4: Simplify right side
    7,597.82x = 42,208,391.57
  5. Step 5: Solve for x
    x = 42,208,391.57/7,597.82
  6. Step 6: Final answer
    x = 5,555.33

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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.