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Finding the Fourth Proportional to 6,465.88, 9,697.56 and 2,954.89

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Solution

The fourth proportional to 6,465.88, 9,697.56 and 2,954.89 is: 4,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.88 : 9,697.56 = 2,954.89 : x
  2. Step 2: Convert to fraction form
    6,465.88/9,697.56 = 2,954.89/x
  3. Step 3: Cross multiply
    6,465.88x = 9,697.56 × 2,954.89
  4. Step 4: Simplify right side
    6,465.88x = 28,655,223.07
  5. Step 5: Solve for x
    x = 28,655,223.07/6,465.88
  6. Step 6: Final answer
    x = 4,431.76

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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.