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Finding the Fourth Proportional to 6,964.53, 9,613.58 and 4,737.93

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Solution

The fourth proportional to 6,964.53, 9,613.58 and 4,737.93 is: 6,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.53 : 9,613.58 = 4,737.93 : x
  2. Step 2: Convert to fraction form
    6,964.53/9,613.58 = 4,737.93/x
  3. Step 3: Cross multiply
    6,964.53x = 9,613.58 × 4,737.93
  4. Step 4: Simplify right side
    6,964.53x = 45,548,445.40
  5. Step 5: Solve for x
    x = 45,548,445.40/6,964.53
  6. Step 6: Final answer
    x = 6,540.06

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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.