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Finding the Fourth Proportional to 6,493.51, 9,736.93 and 2,980.49

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Solution

The fourth proportional to 6,493.51, 9,736.93 and 2,980.49 is: 4,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.51 : 9,736.93 = 2,980.49 : x
  2. Step 2: Convert to fraction form
    6,493.51/9,736.93 = 2,980.49/x
  3. Step 3: Cross multiply
    6,493.51x = 9,736.93 × 2,980.49
  4. Step 4: Simplify right side
    6,493.51x = 29,020,822.50
  5. Step 5: Solve for x
    x = 29,020,822.50/6,493.51
  6. Step 6: Final answer
    x = 4,469.20

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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.