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Finding the Fourth Proportional to 6,413.68, 8,848.20 and 4,318.48

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Solution

The fourth proportional to 6,413.68, 8,848.20 and 4,318.48 is: 5,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.68 : 8,848.20 = 4,318.48 : x
  2. Step 2: Convert to fraction form
    6,413.68/8,848.20 = 4,318.48/x
  3. Step 3: Cross multiply
    6,413.68x = 8,848.20 × 4,318.48
  4. Step 4: Simplify right side
    6,413.68x = 38,210,774.74
  5. Step 5: Solve for x
    x = 38,210,774.74/6,413.68
  6. Step 6: Final answer
    x = 5,957.70

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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.