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Finding the Fourth Proportional to 11,594.26, 16,000.08 and 6,289.06

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Solution

The fourth proportional to 11,594.26, 16,000.08 and 6,289.06 is: 8,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.26 : 16,000.08 = 6,289.06 : x
  2. Step 2: Convert to fraction form
    11,594.26/16,000.08 = 6,289.06/x
  3. Step 3: Cross multiply
    11,594.26x = 16,000.08 × 6,289.06
  4. Step 4: Simplify right side
    11,594.26x = 100,625,463.12
  5. Step 5: Solve for x
    x = 100,625,463.12/11,594.26
  6. Step 6: Final answer
    x = 8,678.90

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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.