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Finding the Fourth Proportional to 12,413.58, 17,134.14 and 7,313.58

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Solution

The fourth proportional to 12,413.58, 17,134.14 and 7,313.58 is: 10,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.58 : 17,134.14 = 7,313.58 : x
  2. Step 2: Convert to fraction form
    12,413.58/17,134.14 = 7,313.58/x
  3. Step 3: Cross multiply
    12,413.58x = 17,134.14 × 7,313.58
  4. Step 4: Simplify right side
    12,413.58x = 125,311,903.62
  5. Step 5: Solve for x
    x = 125,311,903.62/12,413.58
  6. Step 6: Final answer
    x = 10,094.74

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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.