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Finding the Fourth Proportional to 10,764, 16,152.48 and 4,608

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Solution

The fourth proportional to 10,764, 16,152.48 and 4,608 is: 6,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764 : 16,152.48 = 4,608 : x
  2. Step 2: Convert to fraction form
    10,764/16,152.48 = 4,608/x
  3. Step 3: Cross multiply
    10,764x = 16,152.48 × 4,608
  4. Step 4: Simplify right side
    10,764x = 74,430,627.84
  5. Step 5: Solve for x
    x = 74,430,627.84/10,764
  6. Step 6: Final answer
    x = 6,914.77

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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.