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Finding the Fourth Proportional to 9,618.56, 14,409.14 and 6,321.63

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Solution

The fourth proportional to 9,618.56, 14,409.14 and 6,321.63 is: 9,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.56 : 14,409.14 = 6,321.63 : x
  2. Step 2: Convert to fraction form
    9,618.56/14,409.14 = 6,321.63/x
  3. Step 3: Cross multiply
    9,618.56x = 14,409.14 × 6,321.63
  4. Step 4: Simplify right side
    9,618.56x = 91,089,220.09
  5. Step 5: Solve for x
    x = 91,089,220.09/9,618.56
  6. Step 6: Final answer
    x = 9,470.16

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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.