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Finding the Fourth Proportional to 6,468.89, 9,698.40 and 2,956.46

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Solution

The fourth proportional to 6,468.89, 9,698.40 and 2,956.46 is: 4,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.89 : 9,698.40 = 2,956.46 : x
  2. Step 2: Convert to fraction form
    6,468.89/9,698.40 = 2,956.46/x
  3. Step 3: Cross multiply
    6,468.89x = 9,698.40 × 2,956.46
  4. Step 4: Simplify right side
    6,468.89x = 28,672,883.17
  5. Step 5: Solve for x
    x = 28,672,883.17/6,468.89
  6. Step 6: Final answer
    x = 4,432.43

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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.