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Finding the Fourth Proportional to 18,533.70, 27,800.55 and 9,785.70

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Solution

The fourth proportional to 18,533.70, 27,800.55 and 9,785.70 is: 14,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.70 : 27,800.55 = 9,785.70 : x
  2. Step 2: Convert to fraction form
    18,533.70/27,800.55 = 9,785.70/x
  3. Step 3: Cross multiply
    18,533.70x = 27,800.55 × 9,785.70
  4. Step 4: Simplify right side
    18,533.70x = 272,047,842.14
  5. Step 5: Solve for x
    x = 272,047,842.14/18,533.70
  6. Step 6: Final answer
    x = 14,678.55

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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.