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Finding the Fourth Proportional to 8,475.96, 11,696.50 and 4,647.58

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Solution

The fourth proportional to 8,475.96, 11,696.50 and 4,647.58 is: 6,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.96 : 11,696.50 = 4,647.58 : x
  2. Step 2: Convert to fraction form
    8,475.96/11,696.50 = 4,647.58/x
  3. Step 3: Cross multiply
    8,475.96x = 11,696.50 × 4,647.58
  4. Step 4: Simplify right side
    8,475.96x = 54,360,419.47
  5. Step 5: Solve for x
    x = 54,360,419.47/8,475.96
  6. Step 6: Final answer
    x = 6,413.48

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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.