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Finding the Fourth Proportional to 18,533.80, 27,800.70 and 9,785.80

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Solution

The fourth proportional to 18,533.80, 27,800.70 and 9,785.80 is: 14,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.80 : 27,800.70 = 9,785.80 : x
  2. Step 2: Convert to fraction form
    18,533.80/27,800.70 = 9,785.80/x
  3. Step 3: Cross multiply
    18,533.80x = 27,800.70 × 9,785.80
  4. Step 4: Simplify right side
    18,533.80x = 272,052,090.06
  5. Step 5: Solve for x
    x = 272,052,090.06/18,533.80
  6. Step 6: Final answer
    x = 14,678.70

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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.