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Finding the Fourth Proportional to 4,749.62, 6,550.74 and 4,431.32

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Solution

The fourth proportional to 4,749.62, 6,550.74 and 4,431.32 is: 6,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.62 : 6,550.74 = 4,431.32 : x
  2. Step 2: Convert to fraction form
    4,749.62/6,550.74 = 4,431.32/x
  3. Step 3: Cross multiply
    4,749.62x = 6,550.74 × 4,431.32
  4. Step 4: Simplify right side
    4,749.62x = 29,028,425.18
  5. Step 5: Solve for x
    x = 29,028,425.18/4,749.62
  6. Step 6: Final answer
    x = 6,111.74

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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.