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Finding the Fourth Proportional to 8,305.25, 11,461.25 and 4,579.25

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Solution

The fourth proportional to 8,305.25, 11,461.25 and 4,579.25 is: 6,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.25 : 11,461.25 = 4,579.25 : x
  2. Step 2: Convert to fraction form
    8,305.25/11,461.25 = 4,579.25/x
  3. Step 3: Cross multiply
    8,305.25x = 11,461.25 × 4,579.25
  4. Step 4: Simplify right side
    8,305.25x = 52,483,929.06
  5. Step 5: Solve for x
    x = 52,483,929.06/8,305.25
  6. Step 6: Final answer
    x = 6,319.37

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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.