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Finding the Fourth Proportional to 6,958.49, 9,603.20 and 4,307.42

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Solution

The fourth proportional to 6,958.49, 9,603.20 and 4,307.42 is: 5,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.49 : 9,603.20 = 4,307.42 : x
  2. Step 2: Convert to fraction form
    6,958.49/9,603.20 = 4,307.42/x
  3. Step 3: Cross multiply
    6,958.49x = 9,603.20 × 4,307.42
  4. Step 4: Simplify right side
    6,958.49x = 41,365,050.52
  5. Step 5: Solve for x
    x = 41,365,050.52/6,958.49
  6. Step 6: Final answer
    x = 5,944.55

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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.