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Finding the Fourth Proportional to 10,576, 14,594.88 and 6,160

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Solution

The fourth proportional to 10,576, 14,594.88 and 6,160 is: 8,500.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576 : 14,594.88 = 6,160 : x
  2. Step 2: Convert to fraction form
    10,576/14,594.88 = 6,160/x
  3. Step 3: Cross multiply
    10,576x = 14,594.88 × 6,160
  4. Step 4: Simplify right side
    10,576x = 89,904,460.80
  5. Step 5: Solve for x
    x = 89,904,460.80/10,576
  6. Step 6: Final answer
    x = 8,500.80

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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.