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Finding the Fourth Proportional to 7,886.54, 10,883.43 and 4,349.75

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Solution

The fourth proportional to 7,886.54, 10,883.43 and 4,349.75 is: 6,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.54 : 10,883.43 = 4,349.75 : x
  2. Step 2: Convert to fraction form
    7,886.54/10,883.43 = 4,349.75/x
  3. Step 3: Cross multiply
    7,886.54x = 10,883.43 × 4,349.75
  4. Step 4: Simplify right side
    7,886.54x = 47,340,226.85
  5. Step 5: Solve for x
    x = 47,340,226.85/7,886.54
  6. Step 6: Final answer
    x = 6,002.66

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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.