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Finding the Fourth Proportional to 9,830.44, 14,744.76 and 6,311.20

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Solution

The fourth proportional to 9,830.44, 14,744.76 and 6,311.20 is: 9,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.44 : 14,744.76 = 6,311.20 : x
  2. Step 2: Convert to fraction form
    9,830.44/14,744.76 = 6,311.20/x
  3. Step 3: Cross multiply
    9,830.44x = 14,744.76 × 6,311.20
  4. Step 4: Simplify right side
    9,830.44x = 93,057,129.31
  5. Step 5: Solve for x
    x = 93,057,129.31/9,830.44
  6. Step 6: Final answer
    x = 9,466.22

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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.