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Finding the Fourth Proportional to 7,774.44, 10,715.88 and 5,502.84

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Solution

The fourth proportional to 7,774.44, 10,715.88 and 5,502.84 is: 7,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.44 : 10,715.88 = 5,502.84 : x
  2. Step 2: Convert to fraction form
    7,774.44/10,715.88 = 5,502.84/x
  3. Step 3: Cross multiply
    7,774.44x = 10,715.88 × 5,502.84
  4. Step 4: Simplify right side
    7,774.44x = 58,967,773.10
  5. Step 5: Solve for x
    x = 58,967,773.10/7,774.44
  6. Step 6: Final answer
    x = 7,584.83

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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.