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Finding the Fourth Proportional to 6,413.22, 8,836.53 and 4,313.70

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Solution

The fourth proportional to 6,413.22, 8,836.53 and 4,313.70 is: 5,943.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.22 : 8,836.53 = 4,313.70 : x
  2. Step 2: Convert to fraction form
    6,413.22/8,836.53 = 4,313.70/x
  3. Step 3: Cross multiply
    6,413.22x = 8,836.53 × 4,313.70
  4. Step 4: Simplify right side
    6,413.22x = 38,118,139.46
  5. Step 5: Solve for x
    x = 38,118,139.46/6,413.22
  6. Step 6: Final answer
    x = 5,943.68

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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.