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Finding the Fourth Proportional to 14,751, 22,133.31 and 6,848.46

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Solution

The fourth proportional to 14,751, 22,133.31 and 6,848.46 is: 10,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751 : 22,133.31 = 6,848.46 : x
  2. Step 2: Convert to fraction form
    14,751/22,133.31 = 6,848.46/x
  3. Step 3: Cross multiply
    14,751x = 22,133.31 × 6,848.46
  4. Step 4: Simplify right side
    14,751x = 151,579,088.20
  5. Step 5: Solve for x
    x = 151,579,088.20/14,751
  6. Step 6: Final answer
    x = 10,275.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.