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Finding the Fourth Proportional to 9,744.30, 14,584.05 and 6,828.30

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Solution

The fourth proportional to 9,744.30, 14,584.05 and 6,828.30 is: 10,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.30 : 14,584.05 = 6,828.30 : x
  2. Step 2: Convert to fraction form
    9,744.30/14,584.05 = 6,828.30/x
  3. Step 3: Cross multiply
    9,744.30x = 14,584.05 × 6,828.30
  4. Step 4: Simplify right side
    9,744.30x = 99,584,268.62
  5. Step 5: Solve for x
    x = 99,584,268.62/9,744.30
  6. Step 6: Final answer
    x = 10,219.75

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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.