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Finding the Fourth Proportional to 6,173, 9,259.50 and 1,556

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Solution

The fourth proportional to 6,173, 9,259.50 and 1,556 is: 2,334

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173 : 9,259.50 = 1,556 : x
  2. Step 2: Convert to fraction form
    6,173/9,259.50 = 1,556/x
  3. Step 3: Cross multiply
    6,173x = 9,259.50 × 1,556
  4. Step 4: Simplify right side
    6,173x = 14,407,782
  5. Step 5: Solve for x
    x = 14,407,782/6,173
  6. Step 6: Final answer
    x = 2,334

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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.