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Finding the Fourth Proportional to 9,214.80, 13,836.04 and 5,533.50

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Solution

The fourth proportional to 9,214.80, 13,836.04 and 5,533.50 is: 8,308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.80 : 13,836.04 = 5,533.50 : x
  2. Step 2: Convert to fraction form
    9,214.80/13,836.04 = 5,533.50/x
  3. Step 3: Cross multiply
    9,214.80x = 13,836.04 × 5,533.50
  4. Step 4: Simplify right side
    9,214.80x = 76,561,727.34
  5. Step 5: Solve for x
    x = 76,561,727.34/9,214.80
  6. Step 6: Final answer
    x = 8,308.56

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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.