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Finding the Fourth Proportional to 7,852.70, 11,778.03 and 6,544.62

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Solution

The fourth proportional to 7,852.70, 11,778.03 and 6,544.62 is: 9,816.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.70 : 11,778.03 = 6,544.62 : x
  2. Step 2: Convert to fraction form
    7,852.70/11,778.03 = 6,544.62/x
  3. Step 3: Cross multiply
    7,852.70x = 11,778.03 × 6,544.62
  4. Step 4: Simplify right side
    7,852.70x = 77,082,730.70
  5. Step 5: Solve for x
    x = 77,082,730.70/7,852.70
  6. Step 6: Final answer
    x = 9,816.09

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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.