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Finding the Fourth Proportional to 9,152.75, 13,733.21 and 4,219.74

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Solution

The fourth proportional to 9,152.75, 13,733.21 and 4,219.74 is: 6,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.75 : 13,733.21 = 4,219.74 : x
  2. Step 2: Convert to fraction form
    9,152.75/13,733.21 = 4,219.74/x
  3. Step 3: Cross multiply
    9,152.75x = 13,733.21 × 4,219.74
  4. Step 4: Simplify right side
    9,152.75x = 57,950,586.11
  5. Step 5: Solve for x
    x = 57,950,586.11/9,152.75
  6. Step 6: Final answer
    x = 6,331.50

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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.