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Finding the Fourth Proportional to 9,607.56, 14,413.67 and 3,033.74

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Solution

The fourth proportional to 9,607.56, 14,413.67 and 3,033.74 is: 4,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.56 : 14,413.67 = 3,033.74 : x
  2. Step 2: Convert to fraction form
    9,607.56/14,413.67 = 3,033.74/x
  3. Step 3: Cross multiply
    9,607.56x = 14,413.67 × 3,033.74
  4. Step 4: Simplify right side
    9,607.56x = 43,727,239.99
  5. Step 5: Solve for x
    x = 43,727,239.99/9,607.56
  6. Step 6: Final answer
    x = 4,551.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.