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Finding the Fourth Proportional to 9,755.80, 14,633.70 and 4,828.90

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Solution

The fourth proportional to 9,755.80, 14,633.70 and 4,828.90 is: 7,243.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.80 : 14,633.70 = 4,828.90 : x
  2. Step 2: Convert to fraction form
    9,755.80/14,633.70 = 4,828.90/x
  3. Step 3: Cross multiply
    9,755.80x = 14,633.70 × 4,828.90
  4. Step 4: Simplify right side
    9,755.80x = 70,664,673.93
  5. Step 5: Solve for x
    x = 70,664,673.93/9,755.80
  6. Step 6: Final answer
    x = 7,243.35

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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.