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Finding the Fourth Proportional to 6,528.44, 9,009 and 3,544.21

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Solution

The fourth proportional to 6,528.44, 9,009 and 3,544.21 is: 4,890.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.44 : 9,009 = 3,544.21 : x
  2. Step 2: Convert to fraction form
    6,528.44/9,009 = 3,544.21/x
  3. Step 3: Cross multiply
    6,528.44x = 9,009 × 3,544.21
  4. Step 4: Simplify right side
    6,528.44x = 31,929,799.15
  5. Step 5: Solve for x
    x = 31,929,799.15/6,528.44
  6. Step 6: Final answer
    x = 4,890.88

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Half scale
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Double 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.