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Finding the Fourth Proportional to 9,801.08, 14,704.10 and 4,253.08

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Solution

The fourth proportional to 9,801.08, 14,704.10 and 4,253.08 is: 6,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.08 : 14,704.10 = 4,253.08 : x
  2. Step 2: Convert to fraction form
    9,801.08/14,704.10 = 4,253.08/x
  3. Step 3: Cross multiply
    9,801.08x = 14,704.10 × 4,253.08
  4. Step 4: Simplify right side
    9,801.08x = 62,537,671.55
  5. Step 5: Solve for x
    x = 62,537,671.55/9,801.08
  6. Step 6: Final answer
    x = 6,380.69

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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.