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Finding the Fourth Proportional to 9,505.99, 14,253.85 and 6,738.08

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Solution

The fourth proportional to 9,505.99, 14,253.85 and 6,738.08 is: 10,103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.99 : 14,253.85 = 6,738.08 : x
  2. Step 2: Convert to fraction form
    9,505.99/14,253.85 = 6,738.08/x
  3. Step 3: Cross multiply
    9,505.99x = 14,253.85 × 6,738.08
  4. Step 4: Simplify right side
    9,505.99x = 96,043,547.92
  5. Step 5: Solve for x
    x = 96,043,547.92/9,505.99
  6. Step 6: Final answer
    x = 10,103.48

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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.