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Finding the Fourth Proportional to 6,186, 9,279.54 and 1,569

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Solution

The fourth proportional to 6,186, 9,279.54 and 1,569 is: 2,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186 : 9,279.54 = 1,569 : x
  2. Step 2: Convert to fraction form
    6,186/9,279.54 = 1,569/x
  3. Step 3: Cross multiply
    6,186x = 9,279.54 × 1,569
  4. Step 4: Simplify right side
    6,186x = 14,559,598.26
  5. Step 5: Solve for x
    x = 14,559,598.26/6,186
  6. Step 6: Final answer
    x = 2,353.64

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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.