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Finding the Fourth Proportional to 11,594.34, 16,000.07 and 6,289.11

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Solution

The fourth proportional to 11,594.34, 16,000.07 and 6,289.11 is: 8,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.34 : 16,000.07 = 6,289.11 : x
  2. Step 2: Convert to fraction form
    11,594.34/16,000.07 = 6,289.11/x
  3. Step 3: Cross multiply
    11,594.34x = 16,000.07 × 6,289.11
  4. Step 4: Simplify right side
    11,594.34x = 100,626,168.79
  5. Step 5: Solve for x
    x = 100,626,168.79/11,594.34
  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.