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Finding the Fourth Proportional to 5,883.32, 8,815.86 and 4,647.66

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Solution

The fourth proportional to 5,883.32, 8,815.86 and 4,647.66 is: 6,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.32 : 8,815.86 = 4,647.66 : x
  2. Step 2: Convert to fraction form
    5,883.32/8,815.86 = 4,647.66/x
  3. Step 3: Cross multiply
    5,883.32x = 8,815.86 × 4,647.66
  4. Step 4: Simplify right side
    5,883.32x = 40,973,119.89
  5. Step 5: Solve for x
    x = 40,973,119.89/5,883.32
  6. Step 6: Final answer
    x = 6,964.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.