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Finding the Fourth Proportional to 9,704.94, 13,393.36 and 7,342.98

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Solution

The fourth proportional to 9,704.94, 13,393.36 and 7,342.98 is: 10,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.94 : 13,393.36 = 7,342.98 : x
  2. Step 2: Convert to fraction form
    9,704.94/13,393.36 = 7,342.98/x
  3. Step 3: Cross multiply
    9,704.94x = 13,393.36 × 7,342.98
  4. Step 4: Simplify right side
    9,704.94x = 98,347,174.61
  5. Step 5: Solve for x
    x = 98,347,174.61/9,704.94
  6. Step 6: Final answer
    x = 10,133.72

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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.