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Finding the Fourth Proportional to 9,042.70, 13,564.05 and 6,855.70

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Solution

The fourth proportional to 9,042.70, 13,564.05 and 6,855.70 is: 10,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.70 : 13,564.05 = 6,855.70 : x
  2. Step 2: Convert to fraction form
    9,042.70/13,564.05 = 6,855.70/x
  3. Step 3: Cross multiply
    9,042.70x = 13,564.05 × 6,855.70
  4. Step 4: Simplify right side
    9,042.70x = 92,991,057.59
  5. Step 5: Solve for x
    x = 92,991,057.59/9,042.70
  6. Step 6: Final answer
    x = 10,283.55

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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.