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Finding the Fourth Proportional to 8,000.78, 11,038.49 and 4,463.30

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Solution

The fourth proportional to 8,000.78, 11,038.49 and 4,463.30 is: 6,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.78 : 11,038.49 = 4,463.30 : x
  2. Step 2: Convert to fraction form
    8,000.78/11,038.49 = 4,463.30/x
  3. Step 3: Cross multiply
    8,000.78x = 11,038.49 × 4,463.30
  4. Step 4: Simplify right side
    8,000.78x = 49,268,014.91
  5. Step 5: Solve for x
    x = 49,268,014.91/8,000.78
  6. Step 6: Final answer
    x = 6,157.91

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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.