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Finding the Fourth Proportional to 27,200.94, 40,800.60 and 9,658.50

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Solution

The fourth proportional to 27,200.94, 40,800.60 and 9,658.50 is: 14,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,200.94 : 40,800.60 = 9,658.50 : x
  2. Step 2: Convert to fraction form
    27,200.94/40,800.60 = 9,658.50/x
  3. Step 3: Cross multiply
    27,200.94x = 40,800.60 × 9,658.50
  4. Step 4: Simplify right side
    27,200.94x = 394,072,595.10
  5. Step 5: Solve for x
    x = 394,072,595.10/27,200.94
  6. Step 6: Final answer
    x = 14,487.46

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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.