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Finding the Fourth Proportional to 9,827.70, 14,725.35 and 8,175.30

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Solution

The fourth proportional to 9,827.70, 14,725.35 and 8,175.30 is: 12,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.70 : 14,725.35 = 8,175.30 : x
  2. Step 2: Convert to fraction form
    9,827.70/14,725.35 = 8,175.30/x
  3. Step 3: Cross multiply
    9,827.70x = 14,725.35 × 8,175.30
  4. Step 4: Simplify right side
    9,827.70x = 120,384,153.86
  5. Step 5: Solve for x
    x = 120,384,153.86/9,827.70
  6. Step 6: Final answer
    x = 12,249.47

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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.