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Finding the Fourth Proportional to 10,952.68, 16,413.66 and 7,297

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Solution

The fourth proportional to 10,952.68, 16,413.66 and 7,297 is: 10,935.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.68 : 16,413.66 = 7,297 : x
  2. Step 2: Convert to fraction form
    10,952.68/16,413.66 = 7,297/x
  3. Step 3: Cross multiply
    10,952.68x = 16,413.66 × 7,297
  4. Step 4: Simplify right side
    10,952.68x = 119,770,477.02
  5. Step 5: Solve for x
    x = 119,770,477.02/10,952.68
  6. Step 6: Final answer
    x = 10,935.27

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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.