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Finding the Fourth Proportional to 14,946, 22,404.42 and 4,943.90

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Solution

The fourth proportional to 14,946, 22,404.42 and 4,943.90 is: 7,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946 : 22,404.42 = 4,943.90 : x
  2. Step 2: Convert to fraction form
    14,946/22,404.42 = 4,943.90/x
  3. Step 3: Cross multiply
    14,946x = 22,404.42 × 4,943.90
  4. Step 4: Simplify right side
    14,946x = 110,765,100.02
  5. Step 5: Solve for x
    x = 110,765,100.02/14,946
  6. Step 6: Final answer
    x = 7,411.02

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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.