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Finding the Fourth Proportional to 11,594.42, 16,000.18 and 6,559.62

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Solution

The fourth proportional to 11,594.42, 16,000.18 and 6,559.62 is: 9,052.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.42 : 16,000.18 = 6,559.62 : x
  2. Step 2: Convert to fraction form
    11,594.42/16,000.18 = 6,559.62/x
  3. Step 3: Cross multiply
    11,594.42x = 16,000.18 × 6,559.62
  4. Step 4: Simplify right side
    11,594.42x = 104,955,100.73
  5. Step 5: Solve for x
    x = 104,955,100.73/11,594.42
  6. Step 6: Final answer
    x = 9,052.21

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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.