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Finding the Fourth Proportional to 7,649.08, 11,473.62 and 3,031

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Solution

The fourth proportional to 7,649.08, 11,473.62 and 3,031 is: 4,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.08 : 11,473.62 = 3,031 : x
  2. Step 2: Convert to fraction form
    7,649.08/11,473.62 = 3,031/x
  3. Step 3: Cross multiply
    7,649.08x = 11,473.62 × 3,031
  4. Step 4: Simplify right side
    7,649.08x = 34,776,542.22
  5. Step 5: Solve for x
    x = 34,776,542.22/7,649.08
  6. Step 6: Final answer
    x = 4,546.50

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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.