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Finding the Fourth Proportional to 8,447.74, 11,657.64 and 4,670.84

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Solution

The fourth proportional to 8,447.74, 11,657.64 and 4,670.84 is: 6,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.74 : 11,657.64 = 4,670.84 : x
  2. Step 2: Convert to fraction form
    8,447.74/11,657.64 = 4,670.84/x
  3. Step 3: Cross multiply
    8,447.74x = 11,657.64 × 4,670.84
  4. Step 4: Simplify right side
    8,447.74x = 54,450,971.22
  5. Step 5: Solve for x
    x = 54,450,971.22/8,447.74
  6. Step 6: Final answer
    x = 6,445.63

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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.