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Finding the Fourth Proportional to 5,664.70, 8,497.05 and 1,769.11

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Solution

The fourth proportional to 5,664.70, 8,497.05 and 1,769.11 is: 2,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.70 : 8,497.05 = 1,769.11 : x
  2. Step 2: Convert to fraction form
    5,664.70/8,497.05 = 1,769.11/x
  3. Step 3: Cross multiply
    5,664.70x = 8,497.05 × 1,769.11
  4. Step 4: Simplify right side
    5,664.70x = 15,032,216.13
  5. Step 5: Solve for x
    x = 15,032,216.13/5,664.70
  6. Step 6: Final answer
    x = 2,653.67

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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.