Home / 4,115-6,175.02-1,649.56

Finding the Fourth Proportional to 4,115, 6,175.02 and 1,649.56

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Solution

The fourth proportional to 4,115, 6,175.02 and 1,649.56 is: 2,475.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115 : 6,175.02 = 1,649.56 : x
  2. Step 2: Convert to fraction form
    4,115/6,175.02 = 1,649.56/x
  3. Step 3: Cross multiply
    4,115x = 6,175.02 × 1,649.56
  4. Step 4: Simplify right side
    4,115x = 10,186,065.99
  5. Step 5: Solve for x
    x = 10,186,065.99/4,115
  6. Step 6: Final answer
    x = 2,475.35

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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.