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Finding the Fourth Proportional to 7,193.67, 9,922.59 and 4,640.28

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Solution

The fourth proportional to 7,193.67, 9,922.59 and 4,640.28 is: 6,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.67 : 9,922.59 = 4,640.28 : x
  2. Step 2: Convert to fraction form
    7,193.67/9,922.59 = 4,640.28/x
  3. Step 3: Cross multiply
    7,193.67x = 9,922.59 × 4,640.28
  4. Step 4: Simplify right side
    7,193.67x = 46,043,595.93
  5. Step 5: Solve for x
    x = 46,043,595.93/7,193.67
  6. Step 6: Final answer
    x = 6,400.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.