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Finding the Fourth Proportional to 8,449.88, 11,656.96 and 5,466.68

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Solution

The fourth proportional to 8,449.88, 11,656.96 and 5,466.68 is: 7,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.88 : 11,656.96 = 5,466.68 : x
  2. Step 2: Convert to fraction form
    8,449.88/11,656.96 = 5,466.68/x
  3. Step 3: Cross multiply
    8,449.88x = 11,656.96 × 5,466.68
  4. Step 4: Simplify right side
    8,449.88x = 63,724,784.47
  5. Step 5: Solve for x
    x = 63,724,784.47/8,449.88
  6. Step 6: Final answer
    x = 7,541.50

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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.