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Finding the Fourth Proportional to 7,847.08, 11,747.23 and 7,045.28

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Solution

The fourth proportional to 7,847.08, 11,747.23 and 7,045.28 is: 10,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.08 : 11,747.23 = 7,045.28 : x
  2. Step 2: Convert to fraction form
    7,847.08/11,747.23 = 7,045.28/x
  3. Step 3: Cross multiply
    7,847.08x = 11,747.23 × 7,045.28
  4. Step 4: Simplify right side
    7,847.08x = 82,762,492.28
  5. Step 5: Solve for x
    x = 82,762,492.28/7,847.08
  6. Step 6: Final answer
    x = 10,546.92

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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.