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Finding the Fourth Proportional to 13,946.16, 20,914.92 and 4,710

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Solution

The fourth proportional to 13,946.16, 20,914.92 and 4,710 is: 7,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946.16 : 20,914.92 = 4,710 : x
  2. Step 2: Convert to fraction form
    13,946.16/20,914.92 = 4,710/x
  3. Step 3: Cross multiply
    13,946.16x = 20,914.92 × 4,710
  4. Step 4: Simplify right side
    13,946.16x = 98,509,273.20
  5. Step 5: Solve for x
    x = 98,509,273.20/13,946.16
  6. Step 6: Final answer
    x = 7,063.54

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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.