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Finding the Fourth Proportional to 18,384.50, 27,576.75 and 4,533.50

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Solution

The fourth proportional to 18,384.50, 27,576.75 and 4,533.50 is: 6,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,384.50 : 27,576.75 = 4,533.50 : x
  2. Step 2: Convert to fraction form
    18,384.50/27,576.75 = 4,533.50/x
  3. Step 3: Cross multiply
    18,384.50x = 27,576.75 × 4,533.50
  4. Step 4: Simplify right side
    18,384.50x = 125,019,196.13
  5. Step 5: Solve for x
    x = 125,019,196.13/18,384.50
  6. Step 6: Final answer
    x = 6,800.25

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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.