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Finding the Fourth Proportional to 11,483.94, 15,846.62 and 6,448.71

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Solution

The fourth proportional to 11,483.94, 15,846.62 and 6,448.71 is: 8,898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.94 : 15,846.62 = 6,448.71 : x
  2. Step 2: Convert to fraction form
    11,483.94/15,846.62 = 6,448.71/x
  3. Step 3: Cross multiply
    11,483.94x = 15,846.62 × 6,448.71
  4. Step 4: Simplify right side
    11,483.94x = 102,190,284.04
  5. Step 5: Solve for x
    x = 102,190,284.04/11,483.94
  6. Step 6: Final answer
    x = 8,898.54

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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.