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Finding the Fourth Proportional to 7,284.84, 10,941.84 and 7,109.88

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Solution

The fourth proportional to 7,284.84, 10,941.84 and 7,109.88 is: 10,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.84 : 10,941.84 = 7,109.88 : x
  2. Step 2: Convert to fraction form
    7,284.84/10,941.84 = 7,109.88/x
  3. Step 3: Cross multiply
    7,284.84x = 10,941.84 × 7,109.88
  4. Step 4: Simplify right side
    7,284.84x = 77,795,169.38
  5. Step 5: Solve for x
    x = 77,795,169.38/7,284.84
  6. Step 6: Final answer
    x = 10,679.05

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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.