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Finding the Fourth Proportional to 6,704.34, 9,253.02 and 6,409.02

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Solution

The fourth proportional to 6,704.34, 9,253.02 and 6,409.02 is: 8,845.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.34 : 9,253.02 = 6,409.02 : x
  2. Step 2: Convert to fraction form
    6,704.34/9,253.02 = 6,409.02/x
  3. Step 3: Cross multiply
    6,704.34x = 9,253.02 × 6,409.02
  4. Step 4: Simplify right side
    6,704.34x = 59,302,790.24
  5. Step 5: Solve for x
    x = 59,302,790.24/6,704.34
  6. Step 6: Final answer
    x = 8,845.43

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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.