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Finding the Fourth Proportional to 9,503.99, 14,243.43 and 6,880.27

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Solution

The fourth proportional to 9,503.99, 14,243.43 and 6,880.27 is: 10,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.99 : 14,243.43 = 6,880.27 : x
  2. Step 2: Convert to fraction form
    9,503.99/14,243.43 = 6,880.27/x
  3. Step 3: Cross multiply
    9,503.99x = 14,243.43 × 6,880.27
  4. Step 4: Simplify right side
    9,503.99x = 97,998,644.13
  5. Step 5: Solve for x
    x = 97,998,644.13/9,503.99
  6. Step 6: Final answer
    x = 10,311.32

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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.