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Finding the Fourth Proportional to 6,489.44, 8,955.60 and 3,695.68

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Solution

The fourth proportional to 6,489.44, 8,955.60 and 3,695.68 is: 5,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.44 : 8,955.60 = 3,695.68 : x
  2. Step 2: Convert to fraction form
    6,489.44/8,955.60 = 3,695.68/x
  3. Step 3: Cross multiply
    6,489.44x = 8,955.60 × 3,695.68
  4. Step 4: Simplify right side
    6,489.44x = 33,097,031.81
  5. Step 5: Solve for x
    x = 33,097,031.81/6,489.44
  6. Step 6: Final answer
    x = 5,100.14

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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.