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Finding the Fourth Proportional to 10,671.90, 14,728.06 and 6,197.05

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Solution

The fourth proportional to 10,671.90, 14,728.06 and 6,197.05 is: 8,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.90 : 14,728.06 = 6,197.05 : x
  2. Step 2: Convert to fraction form
    10,671.90/14,728.06 = 6,197.05/x
  3. Step 3: Cross multiply
    10,671.90x = 14,728.06 × 6,197.05
  4. Step 4: Simplify right side
    10,671.90x = 91,270,524.22
  5. Step 5: Solve for x
    x = 91,270,524.22/10,671.90
  6. Step 6: Final answer
    x = 8,552.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.