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Finding the Fourth Proportional to 6,413.42, 8,854.19 and 4,889.01

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Solution

The fourth proportional to 6,413.42, 8,854.19 and 4,889.01 is: 6,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.42 : 8,854.19 = 4,889.01 : x
  2. Step 2: Convert to fraction form
    6,413.42/8,854.19 = 4,889.01/x
  3. Step 3: Cross multiply
    6,413.42x = 8,854.19 × 4,889.01
  4. Step 4: Simplify right side
    6,413.42x = 43,288,154.74
  5. Step 5: Solve for x
    x = 43,288,154.74/6,413.42
  6. Step 6: Final answer
    x = 6,749.63

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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.