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Finding the Fourth Proportional to 9,607.01, 14,413.14 and 6,769.37

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Solution

The fourth proportional to 9,607.01, 14,413.14 and 6,769.37 is: 10,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.01 : 14,413.14 = 6,769.37 : x
  2. Step 2: Convert to fraction form
    9,607.01/14,413.14 = 6,769.37/x
  3. Step 3: Cross multiply
    9,607.01x = 14,413.14 × 6,769.37
  4. Step 4: Simplify right side
    9,607.01x = 97,567,913.55
  5. Step 5: Solve for x
    x = 97,567,913.55/9,607.01
  6. Step 6: Final answer
    x = 10,155.91

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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.