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Finding the Fourth Proportional to 9,812.84, 14,717.82 and 3,239.24

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Solution

The fourth proportional to 9,812.84, 14,717.82 and 3,239.24 is: 4,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.84 : 14,717.82 = 3,239.24 : x
  2. Step 2: Convert to fraction form
    9,812.84/14,717.82 = 3,239.24/x
  3. Step 3: Cross multiply
    9,812.84x = 14,717.82 × 3,239.24
  4. Step 4: Simplify right side
    9,812.84x = 47,674,551.26
  5. Step 5: Solve for x
    x = 47,674,551.26/9,812.84
  6. Step 6: Final answer
    x = 4,858.38

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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.