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Finding the Fourth Proportional to 4,496.64, 6,741.12 and 2,649.60

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Solution

The fourth proportional to 4,496.64, 6,741.12 and 2,649.60 is: 3,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.64 : 6,741.12 = 2,649.60 : x
  2. Step 2: Convert to fraction form
    4,496.64/6,741.12 = 2,649.60/x
  3. Step 3: Cross multiply
    4,496.64x = 6,741.12 × 2,649.60
  4. Step 4: Simplify right side
    4,496.64x = 17,861,271.55
  5. Step 5: Solve for x
    x = 17,861,271.55/4,496.64
  6. Step 6: Final answer
    x = 3,972.14

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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.