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Finding the Fourth Proportional to 4,597.16, 6,893.58 and 1,517

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Solution

The fourth proportional to 4,597.16, 6,893.58 and 1,517 is: 2,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.16 : 6,893.58 = 1,517 : x
  2. Step 2: Convert to fraction form
    4,597.16/6,893.58 = 1,517/x
  3. Step 3: Cross multiply
    4,597.16x = 6,893.58 × 1,517
  4. Step 4: Simplify right side
    4,597.16x = 10,457,560.86
  5. Step 5: Solve for x
    x = 10,457,560.86/4,597.16
  6. Step 6: Final answer
    x = 2,274.79

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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.