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Finding the Fourth Proportional to 6,365.68, 9,548.32 and 1,748.64

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Solution

The fourth proportional to 6,365.68, 9,548.32 and 1,748.64 is: 2,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.68 : 9,548.32 = 1,748.64 : x
  2. Step 2: Convert to fraction form
    6,365.68/9,548.32 = 1,748.64/x
  3. Step 3: Cross multiply
    6,365.68x = 9,548.32 × 1,748.64
  4. Step 4: Simplify right side
    6,365.68x = 16,696,574.28
  5. Step 5: Solve for x
    x = 16,696,574.28/6,365.68
  6. Step 6: Final answer
    x = 2,622.91

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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.