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Finding the Fourth Proportional to 10,658, 14,710.14 and 6,182.72

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Solution

The fourth proportional to 10,658, 14,710.14 and 6,182.72 is: 8,533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658 : 14,710.14 = 6,182.72 : x
  2. Step 2: Convert to fraction form
    10,658/14,710.14 = 6,182.72/x
  3. Step 3: Cross multiply
    10,658x = 14,710.14 × 6,182.72
  4. Step 4: Simplify right side
    10,658x = 90,948,676.78
  5. Step 5: Solve for x
    x = 90,948,676.78/10,658
  6. Step 6: Final answer
    x = 8,533.37

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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.