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Finding the Fourth Proportional to 14,641.98, 21,946.74 and 7,230.78

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Solution

The fourth proportional to 14,641.98, 21,946.74 and 7,230.78 is: 10,838.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.98 : 21,946.74 = 7,230.78 : x
  2. Step 2: Convert to fraction form
    14,641.98/21,946.74 = 7,230.78/x
  3. Step 3: Cross multiply
    14,641.98x = 21,946.74 × 7,230.78
  4. Step 4: Simplify right side
    14,641.98x = 158,692,048.66
  5. Step 5: Solve for x
    x = 158,692,048.66/14,641.98
  6. Step 6: Final answer
    x = 10,838.15

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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.