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Finding the Fourth Proportional to 4,899.51, 6,768.21 and 4,456.64

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Solution

The fourth proportional to 4,899.51, 6,768.21 and 4,456.64 is: 6,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.51 : 6,768.21 = 4,456.64 : x
  2. Step 2: Convert to fraction form
    4,899.51/6,768.21 = 4,456.64/x
  3. Step 3: Cross multiply
    4,899.51x = 6,768.21 × 4,456.64
  4. Step 4: Simplify right side
    4,899.51x = 30,163,441.57
  5. Step 5: Solve for x
    x = 30,163,441.57/4,899.51
  6. Step 6: Final answer
    x = 6,156.42

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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.