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Finding the Fourth Proportional to 6,548.04, 9,822.06 and 2,164.32

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Solution

The fourth proportional to 6,548.04, 9,822.06 and 2,164.32 is: 3,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.04 : 9,822.06 = 2,164.32 : x
  2. Step 2: Convert to fraction form
    6,548.04/9,822.06 = 2,164.32/x
  3. Step 3: Cross multiply
    6,548.04x = 9,822.06 × 2,164.32
  4. Step 4: Simplify right side
    6,548.04x = 21,258,080.90
  5. Step 5: Solve for x
    x = 21,258,080.90/6,548.04
  6. Step 6: Final answer
    x = 3,246.48

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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.