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Finding the Fourth Proportional to 14,073.65, 19,413.18 and 9,293.64

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Solution

The fourth proportional to 14,073.65, 19,413.18 and 9,293.64 is: 12,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.65 : 19,413.18 = 9,293.64 : x
  2. Step 2: Convert to fraction form
    14,073.65/19,413.18 = 9,293.64/x
  3. Step 3: Cross multiply
    14,073.65x = 19,413.18 × 9,293.64
  4. Step 4: Simplify right side
    14,073.65x = 180,419,106.18
  5. Step 5: Solve for x
    x = 180,419,106.18/14,073.65
  6. Step 6: Final answer
    x = 12,819.64

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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.