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Finding the Fourth Proportional to 9,586.78, 14,380.23 and 3,346.78

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Solution

The fourth proportional to 9,586.78, 14,380.23 and 3,346.78 is: 5,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.78 : 14,380.23 = 3,346.78 : x
  2. Step 2: Convert to fraction form
    9,586.78/14,380.23 = 3,346.78/x
  3. Step 3: Cross multiply
    9,586.78x = 14,380.23 × 3,346.78
  4. Step 4: Simplify right side
    9,586.78x = 48,127,466.16
  5. Step 5: Solve for x
    x = 48,127,466.16/9,586.78
  6. Step 6: Final answer
    x = 5,020.19

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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.