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Finding the Fourth Proportional to 9,841.62, 14,704.86 and 9,497.19

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Solution

The fourth proportional to 9,841.62, 14,704.86 and 9,497.19 is: 14,190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.62 : 14,704.86 = 9,497.19 : x
  2. Step 2: Convert to fraction form
    9,841.62/14,704.86 = 9,497.19/x
  3. Step 3: Cross multiply
    9,841.62x = 14,704.86 × 9,497.19
  4. Step 4: Simplify right side
    9,841.62x = 139,654,849.34
  5. Step 5: Solve for x
    x = 139,654,849.34/9,841.62
  6. Step 6: Final answer
    x = 14,190.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.