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Finding the Fourth Proportional to 6,097.32, 9,145.97 and 1,480.32

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Solution

The fourth proportional to 6,097.32, 9,145.97 and 1,480.32 is: 2,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.32 : 9,145.97 = 1,480.32 : x
  2. Step 2: Convert to fraction form
    6,097.32/9,145.97 = 1,480.32/x
  3. Step 3: Cross multiply
    6,097.32x = 9,145.97 × 1,480.32
  4. Step 4: Simplify right side
    6,097.32x = 13,538,962.31
  5. Step 5: Solve for x
    x = 13,538,962.31/6,097.32
  6. Step 6: Final answer
    x = 2,220.48

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.