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Finding the Fourth Proportional to 8,185.86, 11,297.96 and 4,828.47

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Solution

The fourth proportional to 8,185.86, 11,297.96 and 4,828.47 is: 6,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.86 : 11,297.96 = 4,828.47 : x
  2. Step 2: Convert to fraction form
    8,185.86/11,297.96 = 4,828.47/x
  3. Step 3: Cross multiply
    8,185.86x = 11,297.96 × 4,828.47
  4. Step 4: Simplify right side
    8,185.86x = 54,551,854.89
  5. Step 5: Solve for x
    x = 54,551,854.89/8,185.86
  6. Step 6: Final answer
    x = 6,664.16

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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.