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Finding the Fourth Proportional to 6,410.64, 8,845.56 and 3,615.60

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Solution

The fourth proportional to 6,410.64, 8,845.56 and 3,615.60 is: 4,988.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.64 : 8,845.56 = 3,615.60 : x
  2. Step 2: Convert to fraction form
    6,410.64/8,845.56 = 3,615.60/x
  3. Step 3: Cross multiply
    6,410.64x = 8,845.56 × 3,615.60
  4. Step 4: Simplify right side
    6,410.64x = 31,982,006.74
  5. Step 5: Solve for x
    x = 31,982,006.74/6,410.64
  6. Step 6: Final answer
    x = 4,988.89

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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.