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Finding the Fourth Proportional to 6,914.60, 10,409.27 and 6,302.24

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Solution

The fourth proportional to 6,914.60, 10,409.27 and 6,302.24 is: 9,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.60 : 10,409.27 = 6,302.24 : x
  2. Step 2: Convert to fraction form
    6,914.60/10,409.27 = 6,302.24/x
  3. Step 3: Cross multiply
    6,914.60x = 10,409.27 × 6,302.24
  4. Step 4: Simplify right side
    6,914.60x = 65,601,717.76
  5. Step 5: Solve for x
    x = 65,601,717.76/6,914.60
  6. Step 6: Final answer
    x = 9,487.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.