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Finding the Fourth Proportional to 10,506, 14,498.46 and 6,786.48

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Solution

The fourth proportional to 10,506, 14,498.46 and 6,786.48 is: 9,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506 : 14,498.46 = 6,786.48 : x
  2. Step 2: Convert to fraction form
    10,506/14,498.46 = 6,786.48/x
  3. Step 3: Cross multiply
    10,506x = 14,498.46 × 6,786.48
  4. Step 4: Simplify right side
    10,506x = 98,393,508.82
  5. Step 5: Solve for x
    x = 98,393,508.82/10,506
  6. Step 6: Final answer
    x = 9,365.46

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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.