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Finding the Fourth Proportional to 12,883.58, 19,413.15 and 10,594.86

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Solution

The fourth proportional to 12,883.58, 19,413.15 and 10,594.86 is: 15,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.58 : 19,413.15 = 10,594.86 : x
  2. Step 2: Convert to fraction form
    12,883.58/19,413.15 = 10,594.86/x
  3. Step 3: Cross multiply
    12,883.58x = 19,413.15 × 10,594.86
  4. Step 4: Simplify right side
    12,883.58x = 205,679,511.25
  5. Step 5: Solve for x
    x = 205,679,511.25/12,883.58
  6. Step 6: Final answer
    x = 15,964.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.