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Finding the Fourth Proportional to 7,402.04, 10,194.04 and 7,378.96

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Solution

The fourth proportional to 7,402.04, 10,194.04 and 7,378.96 is: 10,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.04 : 10,194.04 = 7,378.96 : x
  2. Step 2: Convert to fraction form
    7,402.04/10,194.04 = 7,378.96/x
  3. Step 3: Cross multiply
    7,402.04x = 10,194.04 × 7,378.96
  4. Step 4: Simplify right side
    7,402.04x = 75,221,413.40
  5. Step 5: Solve for x
    x = 75,221,413.40/7,402.04
  6. Step 6: Final answer
    x = 10,162.25

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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.