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Finding the Fourth Proportional to 9,952.84, 13,727.84 and 8,450.34

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Solution

The fourth proportional to 9,952.84, 13,727.84 and 8,450.34 is: 11,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.84 : 13,727.84 = 8,450.34 : x
  2. Step 2: Convert to fraction form
    9,952.84/13,727.84 = 8,450.34/x
  3. Step 3: Cross multiply
    9,952.84x = 13,727.84 × 8,450.34
  4. Step 4: Simplify right side
    9,952.84x = 116,004,915.47
  5. Step 5: Solve for x
    x = 116,004,915.47/9,952.84
  6. Step 6: Final answer
    x = 11,655.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.