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Finding the Fourth Proportional to 9,297.56, 13,940.94 and 4,607.12

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Solution

The fourth proportional to 9,297.56, 13,940.94 and 4,607.12 is: 6,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.56 : 13,940.94 = 4,607.12 : x
  2. Step 2: Convert to fraction form
    9,297.56/13,940.94 = 4,607.12/x
  3. Step 3: Cross multiply
    9,297.56x = 13,940.94 × 4,607.12
  4. Step 4: Simplify right side
    9,297.56x = 64,227,583.49
  5. Step 5: Solve for x
    x = 64,227,583.49/9,297.56
  6. Step 6: Final answer
    x = 6,908.00

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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.