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Finding the Fourth Proportional to 7,203.16, 9,942.21 and 4,691.54

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Solution

The fourth proportional to 7,203.16, 9,942.21 and 4,691.54 is: 6,475.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.16 : 9,942.21 = 4,691.54 : x
  2. Step 2: Convert to fraction form
    7,203.16/9,942.21 = 4,691.54/x
  3. Step 3: Cross multiply
    7,203.16x = 9,942.21 × 4,691.54
  4. Step 4: Simplify right side
    7,203.16x = 46,644,275.90
  5. Step 5: Solve for x
    x = 46,644,275.90/7,203.16
  6. Step 6: Final answer
    x = 6,475.53

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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.