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Finding the Fourth Proportional to 9,653.58, 13,326.48 and 7,264.44

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Solution

The fourth proportional to 9,653.58, 13,326.48 and 7,264.44 is: 10,028.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.58 : 13,326.48 = 7,264.44 : x
  2. Step 2: Convert to fraction form
    9,653.58/13,326.48 = 7,264.44/x
  3. Step 3: Cross multiply
    9,653.58x = 13,326.48 × 7,264.44
  4. Step 4: Simplify right side
    9,653.58x = 96,809,414.37
  5. Step 5: Solve for x
    x = 96,809,414.37/9,653.58
  6. Step 6: Final answer
    x = 10,028.34

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Half scale
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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.