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Finding the Fourth Proportional to 11,628, 16,044.48 and 6,913.44

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Solution

The fourth proportional to 11,628, 16,044.48 and 6,913.44 is: 9,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628 : 16,044.48 = 6,913.44 : x
  2. Step 2: Convert to fraction form
    11,628/16,044.48 = 6,913.44/x
  3. Step 3: Cross multiply
    11,628x = 16,044.48 × 6,913.44
  4. Step 4: Simplify right side
    11,628x = 110,922,549.81
  5. Step 5: Solve for x
    x = 110,922,549.81/11,628
  6. Step 6: Final answer
    x = 9,539.26

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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.