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Finding the Fourth Proportional to 7,267.67, 10,031 and 4,614.58

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Solution

The fourth proportional to 7,267.67, 10,031 and 4,614.58 is: 6,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.67 : 10,031 = 4,614.58 : x
  2. Step 2: Convert to fraction form
    7,267.67/10,031 = 4,614.58/x
  3. Step 3: Cross multiply
    7,267.67x = 10,031 × 4,614.58
  4. Step 4: Simplify right side
    7,267.67x = 46,288,851.98
  5. Step 5: Solve for x
    x = 46,288,851.98/7,267.67
  6. Step 6: Final answer
    x = 6,369.15

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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.