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Finding the Fourth Proportional to 6,516.36, 9,774.53 and 1,586

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Solution

The fourth proportional to 6,516.36, 9,774.53 and 1,586 is: 2,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.36 : 9,774.53 = 1,586 : x
  2. Step 2: Convert to fraction form
    6,516.36/9,774.53 = 1,586/x
  3. Step 3: Cross multiply
    6,516.36x = 9,774.53 × 1,586
  4. Step 4: Simplify right side
    6,516.36x = 15,502,404.58
  5. Step 5: Solve for x
    x = 15,502,404.58/6,516.36
  6. Step 6: Final answer
    x = 2,379.00

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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.