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Finding the Fourth Proportional to 6,825.60, 9,416 and 4,032.64

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Solution

The fourth proportional to 6,825.60, 9,416 and 4,032.64 is: 5,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.60 : 9,416 = 4,032.64 : x
  2. Step 2: Convert to fraction form
    6,825.60/9,416 = 4,032.64/x
  3. Step 3: Cross multiply
    6,825.60x = 9,416 × 4,032.64
  4. Step 4: Simplify right side
    6,825.60x = 37,971,338.24
  5. Step 5: Solve for x
    x = 37,971,338.24/6,825.60
  6. Step 6: Final answer
    x = 5,563.08

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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.