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Finding the Fourth Proportional to 9,014.70, 13,522.05 and 8,064.30

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Solution

The fourth proportional to 9,014.70, 13,522.05 and 8,064.30 is: 12,096.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.70 : 13,522.05 = 8,064.30 : x
  2. Step 2: Convert to fraction form
    9,014.70/13,522.05 = 8,064.30/x
  3. Step 3: Cross multiply
    9,014.70x = 13,522.05 × 8,064.30
  4. Step 4: Simplify right side
    9,014.70x = 109,045,867.82
  5. Step 5: Solve for x
    x = 109,045,867.82/9,014.70
  6. Step 6: Final answer
    x = 12,096.45

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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.