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Finding the Fourth Proportional to 6,451.62, 8,881.36 and 5,788.24

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Solution

The fourth proportional to 6,451.62, 8,881.36 and 5,788.24 is: 7,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.62 : 8,881.36 = 5,788.24 : x
  2. Step 2: Convert to fraction form
    6,451.62/8,881.36 = 5,788.24/x
  3. Step 3: Cross multiply
    6,451.62x = 8,881.36 × 5,788.24
  4. Step 4: Simplify right side
    6,451.62x = 51,407,443.21
  5. Step 5: Solve for x
    x = 51,407,443.21/6,451.62
  6. Step 6: Final answer
    x = 7,968.14

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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.