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Finding the Fourth Proportional to 6,365.44, 9,548.16 and 1,748.64

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Solution

The fourth proportional to 6,365.44, 9,548.16 and 1,748.64 is: 2,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.44 : 9,548.16 = 1,748.64 : x
  2. Step 2: Convert to fraction form
    6,365.44/9,548.16 = 1,748.64/x
  3. Step 3: Cross multiply
    6,365.44x = 9,548.16 × 1,748.64
  4. Step 4: Simplify right side
    6,365.44x = 16,696,294.50
  5. Step 5: Solve for x
    x = 16,696,294.50/6,365.44
  6. Step 6: Final answer
    x = 2,622.96

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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.