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Finding the Fourth Proportional to 6,934.59, 9,570.62 and 3,951.50

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Solution

The fourth proportional to 6,934.59, 9,570.62 and 3,951.50 is: 5,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.59 : 9,570.62 = 3,951.50 : x
  2. Step 2: Convert to fraction form
    6,934.59/9,570.62 = 3,951.50/x
  3. Step 3: Cross multiply
    6,934.59x = 9,570.62 × 3,951.50
  4. Step 4: Simplify right side
    6,934.59x = 37,818,266.96
  5. Step 5: Solve for x
    x = 37,818,266.96/6,934.59
  6. Step 6: Final answer
    x = 5,453.57

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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.