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Finding the Fourth Proportional to 6,951.96, 9,603.90 and 5,634.36

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Solution

The fourth proportional to 6,951.96, 9,603.90 and 5,634.36 is: 7,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.96 : 9,603.90 = 5,634.36 : x
  2. Step 2: Convert to fraction form
    6,951.96/9,603.90 = 5,634.36/x
  3. Step 3: Cross multiply
    6,951.96x = 9,603.90 × 5,634.36
  4. Step 4: Simplify right side
    6,951.96x = 54,111,830.00
  5. Step 5: Solve for x
    x = 54,111,830.00/6,951.96
  6. Step 6: Final answer
    x = 7,783.68

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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.