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Finding the Fourth Proportional to 8,221.56, 11,345.70 and 4,495.56

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Solution

The fourth proportional to 8,221.56, 11,345.70 and 4,495.56 is: 6,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.56 : 11,345.70 = 4,495.56 : x
  2. Step 2: Convert to fraction form
    8,221.56/11,345.70 = 4,495.56/x
  3. Step 3: Cross multiply
    8,221.56x = 11,345.70 × 4,495.56
  4. Step 4: Simplify right side
    8,221.56x = 51,005,275.09
  5. Step 5: Solve for x
    x = 51,005,275.09/8,221.56
  6. Step 6: Final answer
    x = 6,203.84

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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.