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Finding the Fourth Proportional to 8,146.74, 11,235.80 and 6,848.31

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Solution

The fourth proportional to 8,146.74, 11,235.80 and 6,848.31 is: 9,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.74 : 11,235.80 = 6,848.31 : x
  2. Step 2: Convert to fraction form
    8,146.74/11,235.80 = 6,848.31/x
  3. Step 3: Cross multiply
    8,146.74x = 11,235.80 × 6,848.31
  4. Step 4: Simplify right side
    8,146.74x = 76,946,207.26
  5. Step 5: Solve for x
    x = 76,946,207.26/8,146.74
  6. Step 6: Final answer
    x = 9,445.03

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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.