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Finding the Fourth Proportional to 10,966.70, 16,413.60 and 10,966.70

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Solution

The fourth proportional to 10,966.70, 16,413.60 and 10,966.70 is: 16,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.70 : 16,413.60 = 10,966.70 : x
  2. Step 2: Convert to fraction form
    10,966.70/16,413.60 = 10,966.70/x
  3. Step 3: Cross multiply
    10,966.70x = 16,413.60 × 10,966.70
  4. Step 4: Simplify right side
    10,966.70x = 180,003,027.12
  5. Step 5: Solve for x
    x = 180,003,027.12/10,966.70
  6. Step 6: Final answer
    x = 16,413.60

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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.