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Finding the Fourth Proportional to 6,899.36, 9,523.20 and 6,546.64

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Solution

The fourth proportional to 6,899.36, 9,523.20 and 6,546.64 is: 9,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.36 : 9,523.20 = 6,546.64 : x
  2. Step 2: Convert to fraction form
    6,899.36/9,523.20 = 6,546.64/x
  3. Step 3: Cross multiply
    6,899.36x = 9,523.20 × 6,546.64
  4. Step 4: Simplify right side
    6,899.36x = 62,344,962.05
  5. Step 5: Solve for x
    x = 62,344,962.05/6,899.36
  6. Step 6: Final answer
    x = 9,036.34

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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.