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Finding the Fourth Proportional to 9,682.40, 14,494.35 and 8,758.37

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Solution

The fourth proportional to 9,682.40, 14,494.35 and 8,758.37 is: 13,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.40 : 14,494.35 = 8,758.37 : x
  2. Step 2: Convert to fraction form
    9,682.40/14,494.35 = 8,758.37/x
  3. Step 3: Cross multiply
    9,682.40x = 14,494.35 × 8,758.37
  4. Step 4: Simplify right side
    9,682.40x = 126,946,880.21
  5. Step 5: Solve for x
    x = 126,946,880.21/9,682.40
  6. Step 6: Final answer
    x = 13,111.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.