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Finding the Fourth Proportional to 7,716.81, 10,649.16 and 4,180.05

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Solution

The fourth proportional to 7,716.81, 10,649.16 and 4,180.05 is: 5,768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.81 : 10,649.16 = 4,180.05 : x
  2. Step 2: Convert to fraction form
    7,716.81/10,649.16 = 4,180.05/x
  3. Step 3: Cross multiply
    7,716.81x = 10,649.16 × 4,180.05
  4. Step 4: Simplify right side
    7,716.81x = 44,514,021.26
  5. Step 5: Solve for x
    x = 44,514,021.26/7,716.81
  6. Step 6: Final answer
    x = 5,768.45

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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.