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Finding the Fourth Proportional to 11,828.84, 16,324.74 and 7,113.02

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Solution

The fourth proportional to 11,828.84, 16,324.74 and 7,113.02 is: 9,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.84 : 16,324.74 = 7,113.02 : x
  2. Step 2: Convert to fraction form
    11,828.84/16,324.74 = 7,113.02/x
  3. Step 3: Cross multiply
    11,828.84x = 16,324.74 × 7,113.02
  4. Step 4: Simplify right side
    11,828.84x = 116,118,120.49
  5. Step 5: Solve for x
    x = 116,118,120.49/11,828.84
  6. Step 6: Final answer
    x = 9,816.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.