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Finding the Fourth Proportional to 13,700.90, 18,907.16 and 7,413.24

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Solution

The fourth proportional to 13,700.90, 18,907.16 and 7,413.24 is: 10,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.90 : 18,907.16 = 7,413.24 : x
  2. Step 2: Convert to fraction form
    13,700.90/18,907.16 = 7,413.24/x
  3. Step 3: Cross multiply
    13,700.90x = 18,907.16 × 7,413.24
  4. Step 4: Simplify right side
    13,700.90x = 140,163,314.80
  5. Step 5: Solve for x
    x = 140,163,314.80/13,700.90
  6. Step 6: Final answer
    x = 10,230.23

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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.