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Finding the Fourth Proportional to 9,583.56, 13,224.70 and 5,334.40

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Solution

The fourth proportional to 9,583.56, 13,224.70 and 5,334.40 is: 7,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.56 : 13,224.70 = 5,334.40 : x
  2. Step 2: Convert to fraction form
    9,583.56/13,224.70 = 5,334.40/x
  3. Step 3: Cross multiply
    9,583.56x = 13,224.70 × 5,334.40
  4. Step 4: Simplify right side
    9,583.56x = 70,545,839.68
  5. Step 5: Solve for x
    x = 70,545,839.68/9,583.56
  6. Step 6: Final answer
    x = 7,361.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.