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Finding the Fourth Proportional to 7,649.76, 11,476.48 and 2,384.64

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Solution

The fourth proportional to 7,649.76, 11,476.48 and 2,384.64 is: 3,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.76 : 11,476.48 = 2,384.64 : x
  2. Step 2: Convert to fraction form
    7,649.76/11,476.48 = 2,384.64/x
  3. Step 3: Cross multiply
    7,649.76x = 11,476.48 × 2,384.64
  4. Step 4: Simplify right side
    7,649.76x = 27,367,273.27
  5. Step 5: Solve for x
    x = 27,367,273.27/7,649.76
  6. Step 6: Final answer
    x = 3,577.53

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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.