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Finding the Fourth Proportional to 11,624.42, 16,042.04 and 6,588.47

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Solution

The fourth proportional to 11,624.42, 16,042.04 and 6,588.47 is: 9,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.42 : 16,042.04 = 6,588.47 : x
  2. Step 2: Convert to fraction form
    11,624.42/16,042.04 = 6,588.47/x
  3. Step 3: Cross multiply
    11,624.42x = 16,042.04 × 6,588.47
  4. Step 4: Simplify right side
    11,624.42x = 105,692,506.44
  5. Step 5: Solve for x
    x = 105,692,506.44/11,624.42
  6. Step 6: Final answer
    x = 9,092.29

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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.