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Finding the Fourth Proportional to 6,815.70, 10,223.55 and 5,663.70

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Solution

The fourth proportional to 6,815.70, 10,223.55 and 5,663.70 is: 8,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.70 : 10,223.55 = 5,663.70 : x
  2. Step 2: Convert to fraction form
    6,815.70/10,223.55 = 5,663.70/x
  3. Step 3: Cross multiply
    6,815.70x = 10,223.55 × 5,663.70
  4. Step 4: Simplify right side
    6,815.70x = 57,903,120.14
  5. Step 5: Solve for x
    x = 57,903,120.14/6,815.70
  6. Step 6: Final answer
    x = 8,495.55

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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.