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Finding the Fourth Proportional to 27,533.34, 41,298.34 and 9,764.88

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Solution

The fourth proportional to 27,533.34, 41,298.34 and 9,764.88 is: 14,646.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,533.34 : 41,298.34 = 9,764.88 : x
  2. Step 2: Convert to fraction form
    27,533.34/41,298.34 = 9,764.88/x
  3. Step 3: Cross multiply
    27,533.34x = 41,298.34 × 9,764.88
  4. Step 4: Simplify right side
    27,533.34x = 403,273,334.30
  5. Step 5: Solve for x
    x = 403,273,334.30/27,533.34
  6. Step 6: Final answer
    x = 14,646.73

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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.