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Finding the Fourth Proportional to 5,665.34, 8,494.67 and 1,715.40

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Solution

The fourth proportional to 5,665.34, 8,494.67 and 1,715.40 is: 2,572.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.34 : 8,494.67 = 1,715.40 : x
  2. Step 2: Convert to fraction form
    5,665.34/8,494.67 = 1,715.40/x
  3. Step 3: Cross multiply
    5,665.34x = 8,494.67 × 1,715.40
  4. Step 4: Simplify right side
    5,665.34x = 14,571,761.21
  5. Step 5: Solve for x
    x = 14,571,761.21/5,665.34
  6. Step 6: Final answer
    x = 2,572.09

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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.