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Finding the Fourth Proportional to 7,185.84, 10,774.94 and 6,354.92

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Solution

The fourth proportional to 7,185.84, 10,774.94 and 6,354.92 is: 9,528.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.84 : 10,774.94 = 6,354.92 : x
  2. Step 2: Convert to fraction form
    7,185.84/10,774.94 = 6,354.92/x
  3. Step 3: Cross multiply
    7,185.84x = 10,774.94 × 6,354.92
  4. Step 4: Simplify right side
    7,185.84x = 68,473,796.06
  5. Step 5: Solve for x
    x = 68,473,796.06/7,185.84
  6. Step 6: Final answer
    x = 9,528.99

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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.