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Finding the Fourth Proportional to 9,754.80, 14,632.16 and 3,180.98

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Solution

The fourth proportional to 9,754.80, 14,632.16 and 3,180.98 is: 4,771.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.80 : 14,632.16 = 3,180.98 : x
  2. Step 2: Convert to fraction form
    9,754.80/14,632.16 = 3,180.98/x
  3. Step 3: Cross multiply
    9,754.80x = 14,632.16 × 3,180.98
  4. Step 4: Simplify right side
    9,754.80x = 46,544,519.25
  5. Step 5: Solve for x
    x = 46,544,519.25/9,754.80
  6. Step 6: Final answer
    x = 4,771.45

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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.