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Finding the Fourth Proportional to 9,794.50, 13,506.54 and 8,714.41

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Solution

The fourth proportional to 9,794.50, 13,506.54 and 8,714.41 is: 12,017.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.50 : 13,506.54 = 8,714.41 : x
  2. Step 2: Convert to fraction form
    9,794.50/13,506.54 = 8,714.41/x
  3. Step 3: Cross multiply
    9,794.50x = 13,506.54 × 8,714.41
  4. Step 4: Simplify right side
    9,794.50x = 117,701,527.24
  5. Step 5: Solve for x
    x = 117,701,527.24/9,794.50
  6. Step 6: Final answer
    x = 12,017.10

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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.