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Finding the Fourth Proportional to 14,600, 21,895.36 and 4,737

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Solution

The fourth proportional to 14,600, 21,895.36 and 4,737 is: 7,103.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600 : 21,895.36 = 4,737 : x
  2. Step 2: Convert to fraction form
    14,600/21,895.36 = 4,737/x
  3. Step 3: Cross multiply
    14,600x = 21,895.36 × 4,737
  4. Step 4: Simplify right side
    14,600x = 103,718,320.32
  5. Step 5: Solve for x
    x = 103,718,320.32/14,600
  6. Step 6: Final answer
    x = 7,103.99

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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.