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Finding the Fourth Proportional to 5,948.62, 8,190.77 and 5,284.32

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Solution

The fourth proportional to 5,948.62, 8,190.77 and 5,284.32 is: 7,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.62 : 8,190.77 = 5,284.32 : x
  2. Step 2: Convert to fraction form
    5,948.62/8,190.77 = 5,284.32/x
  3. Step 3: Cross multiply
    5,948.62x = 8,190.77 × 5,284.32
  4. Step 4: Simplify right side
    5,948.62x = 43,282,649.73
  5. Step 5: Solve for x
    x = 43,282,649.73/5,948.62
  6. Step 6: Final answer
    x = 7,276.08

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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.