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Finding the Fourth Proportional to 5,962.82, 8,209.93 and 5,064.63

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Solution

The fourth proportional to 5,962.82, 8,209.93 and 5,064.63 is: 6,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.82 : 8,209.93 = 5,064.63 : x
  2. Step 2: Convert to fraction form
    5,962.82/8,209.93 = 5,064.63/x
  3. Step 3: Cross multiply
    5,962.82x = 8,209.93 × 5,064.63
  4. Step 4: Simplify right side
    5,962.82x = 41,580,257.78
  5. Step 5: Solve for x
    x = 41,580,257.78/5,962.82
  6. Step 6: Final answer
    x = 6,973.25

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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.