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Finding the Fourth Proportional to 14,937.75, 22,406.63 and 4,549.50

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Solution

The fourth proportional to 14,937.75, 22,406.63 and 4,549.50 is: 6,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,937.75 : 22,406.63 = 4,549.50 : x
  2. Step 2: Convert to fraction form
    14,937.75/22,406.63 = 4,549.50/x
  3. Step 3: Cross multiply
    14,937.75x = 22,406.63 × 4,549.50
  4. Step 4: Simplify right side
    14,937.75x = 101,938,940.44
  5. Step 5: Solve for x
    x = 101,938,940.44/14,937.75
  6. Step 6: Final answer
    x = 6,824.25

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1.5x scale

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.