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Finding the Fourth Proportional to 8,677.92, 11,968.96 and 5,848.32

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Solution

The fourth proportional to 8,677.92, 11,968.96 and 5,848.32 is: 8,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.92 : 11,968.96 = 5,848.32 : x
  2. Step 2: Convert to fraction form
    8,677.92/11,968.96 = 5,848.32/x
  3. Step 3: Cross multiply
    8,677.92x = 11,968.96 × 5,848.32
  4. Step 4: Simplify right side
    8,677.92x = 69,998,308.15
  5. Step 5: Solve for x
    x = 69,998,308.15/8,677.92
  6. Step 6: Final answer
    x = 8,066.25

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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.