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Finding the Fourth Proportional to 5,768.82, 7,965.54 and 4,646.16

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Solution

The fourth proportional to 5,768.82, 7,965.54 and 4,646.16 is: 6,415.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.82 : 7,965.54 = 4,646.16 : x
  2. Step 2: Convert to fraction form
    5,768.82/7,965.54 = 4,646.16/x
  3. Step 3: Cross multiply
    5,768.82x = 7,965.54 × 4,646.16
  4. Step 4: Simplify right side
    5,768.82x = 37,009,173.33
  5. Step 5: Solve for x
    x = 37,009,173.33/5,768.82
  6. Step 6: Final answer
    x = 6,415.38

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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.