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Finding the Fourth Proportional to 9,284.01, 13,913.73 and 8,045.67

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Solution

The fourth proportional to 9,284.01, 13,913.73 and 8,045.67 is: 12,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.01 : 13,913.73 = 8,045.67 : x
  2. Step 2: Convert to fraction form
    9,284.01/13,913.73 = 8,045.67/x
  3. Step 3: Cross multiply
    9,284.01x = 13,913.73 × 8,045.67
  4. Step 4: Simplify right side
    9,284.01x = 111,945,280.05
  5. Step 5: Solve for x
    x = 111,945,280.05/9,284.01
  6. Step 6: Final answer
    x = 12,057.86

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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.