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Finding the Fourth Proportional to 9,647.80, 14,471.70 and 5,273.80

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Solution

The fourth proportional to 9,647.80, 14,471.70 and 5,273.80 is: 7,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.80 : 14,471.70 = 5,273.80 : x
  2. Step 2: Convert to fraction form
    9,647.80/14,471.70 = 5,273.80/x
  3. Step 3: Cross multiply
    9,647.80x = 14,471.70 × 5,273.80
  4. Step 4: Simplify right side
    9,647.80x = 76,320,851.46
  5. Step 5: Solve for x
    x = 76,320,851.46/9,647.80
  6. Step 6: Final answer
    x = 7,910.70

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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.