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Finding the Fourth Proportional to 8,385, 11,566.49 and 5,235.72

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Solution

The fourth proportional to 8,385, 11,566.49 and 5,235.72 is: 7,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385 : 11,566.49 = 5,235.72 : x
  2. Step 2: Convert to fraction form
    8,385/11,566.49 = 5,235.72/x
  3. Step 3: Cross multiply
    8,385x = 11,566.49 × 5,235.72
  4. Step 4: Simplify right side
    8,385x = 60,558,876.84
  5. Step 5: Solve for x
    x = 60,558,876.84/8,385
  6. Step 6: Final answer
    x = 7,222.29

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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.