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Finding the Fourth Proportional to 7,902.64, 10,893.44 and 5,910.16

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Solution

The fourth proportional to 7,902.64, 10,893.44 and 5,910.16 is: 8,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.64 : 10,893.44 = 5,910.16 : x
  2. Step 2: Convert to fraction form
    7,902.64/10,893.44 = 5,910.16/x
  3. Step 3: Cross multiply
    7,902.64x = 10,893.44 × 5,910.16
  4. Step 4: Simplify right side
    7,902.64x = 64,381,973.35
  5. Step 5: Solve for x
    x = 64,381,973.35/7,902.64
  6. Step 6: Final answer
    x = 8,146.89

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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.