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Finding the Fourth Proportional to 12,912.60, 19,368.90 and 9,413.40

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Solution

The fourth proportional to 12,912.60, 19,368.90 and 9,413.40 is: 14,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.60 : 19,368.90 = 9,413.40 : x
  2. Step 2: Convert to fraction form
    12,912.60/19,368.90 = 9,413.40/x
  3. Step 3: Cross multiply
    12,912.60x = 19,368.90 × 9,413.40
  4. Step 4: Simplify right side
    12,912.60x = 182,327,203.26
  5. Step 5: Solve for x
    x = 182,327,203.26/12,912.60
  6. Step 6: Final answer
    x = 14,120.10

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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.