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Finding the Fourth Proportional to 11,606.94, 16,009.65 and 7,413.30

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Solution

The fourth proportional to 11,606.94, 16,009.65 and 7,413.30 is: 10,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.94 : 16,009.65 = 7,413.30 : x
  2. Step 2: Convert to fraction form
    11,606.94/16,009.65 = 7,413.30/x
  3. Step 3: Cross multiply
    11,606.94x = 16,009.65 × 7,413.30
  4. Step 4: Simplify right side
    11,606.94x = 118,684,338.35
  5. Step 5: Solve for x
    x = 118,684,338.35/11,606.94
  6. Step 6: Final answer
    x = 10,225.29

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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.