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Finding the Fourth Proportional to 7,649.71, 10,556.73 and 4,464.88

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Solution

The fourth proportional to 7,649.71, 10,556.73 and 4,464.88 is: 6,161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.71 : 10,556.73 = 4,464.88 : x
  2. Step 2: Convert to fraction form
    7,649.71/10,556.73 = 4,464.88/x
  3. Step 3: Cross multiply
    7,649.71x = 10,556.73 × 4,464.88
  4. Step 4: Simplify right side
    7,649.71x = 47,134,506.25
  5. Step 5: Solve for x
    x = 47,134,506.25/7,649.71
  6. Step 6: Final answer
    x = 6,161.61

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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.