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Finding the Fourth Proportional to 11,648, 16,074.88 and 6,680.32

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Solution

The fourth proportional to 11,648, 16,074.88 and 6,680.32 is: 9,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648 : 16,074.88 = 6,680.32 : x
  2. Step 2: Convert to fraction form
    11,648/16,074.88 = 6,680.32/x
  3. Step 3: Cross multiply
    11,648x = 16,074.88 × 6,680.32
  4. Step 4: Simplify right side
    11,648x = 107,385,342.36
  5. Step 5: Solve for x
    x = 107,385,342.36/11,648
  6. Step 6: Final answer
    x = 9,219.21

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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.