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Finding the Fourth Proportional to 14,907, 22,360.50 and 4,518.75

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Solution

The fourth proportional to 14,907, 22,360.50 and 4,518.75 is: 6,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907 : 22,360.50 = 4,518.75 : x
  2. Step 2: Convert to fraction form
    14,907/22,360.50 = 4,518.75/x
  3. Step 3: Cross multiply
    14,907x = 22,360.50 × 4,518.75
  4. Step 4: Simplify right side
    14,907x = 101,041,509.38
  5. Step 5: Solve for x
    x = 101,041,509.38/14,907
  6. Step 6: Final answer
    x = 6,778.13

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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.