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Finding the Fourth Proportional to 10,584, 14,592.66 and 6,800.52

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Solution

The fourth proportional to 10,584, 14,592.66 and 6,800.52 is: 9,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,584 : 14,592.66 = 6,800.52 : x
  2. Step 2: Convert to fraction form
    10,584/14,592.66 = 6,800.52/x
  3. Step 3: Cross multiply
    10,584x = 14,592.66 × 6,800.52
  4. Step 4: Simplify right side
    10,584x = 99,237,676.18
  5. Step 5: Solve for x
    x = 99,237,676.18/10,584
  6. Step 6: Final answer
    x = 9,376.20

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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.