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Finding the Fourth Proportional to 11,617.13, 17,425.70 and 6,423

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Solution

The fourth proportional to 11,617.13, 17,425.70 and 6,423 is: 9,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.13 : 17,425.70 = 6,423 : x
  2. Step 2: Convert to fraction form
    11,617.13/17,425.70 = 6,423/x
  3. Step 3: Cross multiply
    11,617.13x = 17,425.70 × 6,423
  4. Step 4: Simplify right side
    11,617.13x = 111,925,238.99
  5. Step 5: Solve for x
    x = 111,925,238.99/11,617.13
  6. Step 6: Final answer
    x = 9,634.50

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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.