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Finding the Fourth Proportional to 4,155.64, 6,232.74 and 1,077.64

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Solution

The fourth proportional to 4,155.64, 6,232.74 and 1,077.64 is: 1,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.64 : 6,232.74 = 1,077.64 : x
  2. Step 2: Convert to fraction form
    4,155.64/6,232.74 = 1,077.64/x
  3. Step 3: Cross multiply
    4,155.64x = 6,232.74 × 1,077.64
  4. Step 4: Simplify right side
    4,155.64x = 6,716,649.93
  5. Step 5: Solve for x
    x = 6,716,649.93/4,155.64
  6. Step 6: Final answer
    x = 1,616.27

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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.