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Finding the Fourth Proportional to 6,188.94, 9,325.98 and 5,117.40

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Solution

The fourth proportional to 6,188.94, 9,325.98 and 5,117.40 is: 7,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.94 : 9,325.98 = 5,117.40 : x
  2. Step 2: Convert to fraction form
    6,188.94/9,325.98 = 5,117.40/x
  3. Step 3: Cross multiply
    6,188.94x = 9,325.98 × 5,117.40
  4. Step 4: Simplify right side
    6,188.94x = 47,724,770.05
  5. Step 5: Solve for x
    x = 47,724,770.05/6,188.94
  6. Step 6: Final answer
    x = 7,711.30

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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.