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Finding the Fourth Proportional to 6,516.65, 9,774.88 and 1,586.30

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Solution

The fourth proportional to 6,516.65, 9,774.88 and 1,586.30 is: 2,379.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.65 : 9,774.88 = 1,586.30 : x
  2. Step 2: Convert to fraction form
    6,516.65/9,774.88 = 1,586.30/x
  3. Step 3: Cross multiply
    6,516.65x = 9,774.88 × 1,586.30
  4. Step 4: Simplify right side
    6,516.65x = 15,505,892.14
  5. Step 5: Solve for x
    x = 15,505,892.14/6,516.65
  6. Step 6: Final answer
    x = 2,379.43

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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.