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Finding the Fourth Proportional to 9,103.97, 13,653.26 and 4,658.89

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Solution

The fourth proportional to 9,103.97, 13,653.26 and 4,658.89 is: 6,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.97 : 13,653.26 = 4,658.89 : x
  2. Step 2: Convert to fraction form
    9,103.97/13,653.26 = 4,658.89/x
  3. Step 3: Cross multiply
    9,103.97x = 13,653.26 × 4,658.89
  4. Step 4: Simplify right side
    9,103.97x = 63,609,065.20
  5. Step 5: Solve for x
    x = 63,609,065.20/9,103.97
  6. Step 6: Final answer
    x = 6,986.96

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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.