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Finding the Fourth Proportional to 11,259, 16,898.74 and 5,716.16

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Solution

The fourth proportional to 11,259, 16,898.74 and 5,716.16 is: 8,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,259 : 16,898.74 = 5,716.16 : x
  2. Step 2: Convert to fraction form
    11,259/16,898.74 = 5,716.16/x
  3. Step 3: Cross multiply
    11,259x = 16,898.74 × 5,716.16
  4. Step 4: Simplify right side
    11,259x = 96,595,901.64
  5. Step 5: Solve for x
    x = 96,595,901.64/11,259
  6. Step 6: Final answer
    x = 8,579.44

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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.