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Finding the Fourth Proportional to 10,596.34, 14,622.36 and 5,880.34

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Solution

The fourth proportional to 10,596.34, 14,622.36 and 5,880.34 is: 8,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.34 : 14,622.36 = 5,880.34 : x
  2. Step 2: Convert to fraction form
    10,596.34/14,622.36 = 5,880.34/x
  3. Step 3: Cross multiply
    10,596.34x = 14,622.36 × 5,880.34
  4. Step 4: Simplify right side
    10,596.34x = 85,984,375.29
  5. Step 5: Solve for x
    x = 85,984,375.29/10,596.34
  6. Step 6: Final answer
    x = 8,114.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.