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Finding the Fourth Proportional to 9,892.40, 14,828.07 and 6,771.53

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Solution

The fourth proportional to 9,892.40, 14,828.07 and 6,771.53 is: 10,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.40 : 14,828.07 = 6,771.53 : x
  2. Step 2: Convert to fraction form
    9,892.40/14,828.07 = 6,771.53/x
  3. Step 3: Cross multiply
    9,892.40x = 14,828.07 × 6,771.53
  4. Step 4: Simplify right side
    9,892.40x = 100,408,720.85
  5. Step 5: Solve for x
    x = 100,408,720.85/9,892.40
  6. Step 6: Final answer
    x = 10,150.09

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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.