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Finding the Fourth Proportional to 9,178, 13,767 and 3,022.48

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Solution

The fourth proportional to 9,178, 13,767 and 3,022.48 is: 4,533.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178 : 13,767 = 3,022.48 : x
  2. Step 2: Convert to fraction form
    9,178/13,767 = 3,022.48/x
  3. Step 3: Cross multiply
    9,178x = 13,767 × 3,022.48
  4. Step 4: Simplify right side
    9,178x = 41,610,482.16
  5. Step 5: Solve for x
    x = 41,610,482.16/9,178
  6. Step 6: Final answer
    x = 4,533.72

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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.