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Finding the Fourth Proportional to 6,958.53, 9,597.35 and 4,307.40

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Solution

The fourth proportional to 6,958.53, 9,597.35 and 4,307.40 is: 5,940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.53 : 9,597.35 = 4,307.40 : x
  2. Step 2: Convert to fraction form
    6,958.53/9,597.35 = 4,307.40/x
  3. Step 3: Cross multiply
    6,958.53x = 9,597.35 × 4,307.40
  4. Step 4: Simplify right side
    6,958.53x = 41,339,636.16
  5. Step 5: Solve for x
    x = 41,339,636.16/6,958.53
  6. Step 6: Final answer
    x = 5,940.86

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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.