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Finding the Fourth Proportional to 9,658.43, 14,487.99 and 3,419.10

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Solution

The fourth proportional to 9,658.43, 14,487.99 and 3,419.10 is: 5,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.43 : 14,487.99 = 3,419.10 : x
  2. Step 2: Convert to fraction form
    9,658.43/14,487.99 = 3,419.10/x
  3. Step 3: Cross multiply
    9,658.43x = 14,487.99 × 3,419.10
  4. Step 4: Simplify right side
    9,658.43x = 49,535,797.07
  5. Step 5: Solve for x
    x = 49,535,797.07/9,658.43
  6. Step 6: Final answer
    x = 5,128.77

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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.