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Finding the Fourth Proportional to 4,684.32, 7,037.43 and 4,028.22

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Solution

The fourth proportional to 4,684.32, 7,037.43 and 4,028.22 is: 6,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.32 : 7,037.43 = 4,028.22 : x
  2. Step 2: Convert to fraction form
    4,684.32/7,037.43 = 4,028.22/x
  3. Step 3: Cross multiply
    4,684.32x = 7,037.43 × 4,028.22
  4. Step 4: Simplify right side
    4,684.32x = 28,348,316.27
  5. Step 5: Solve for x
    x = 28,348,316.27/4,684.32
  6. Step 6: Final answer
    x = 6,051.75

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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.