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Finding the Fourth Proportional to 10,596, 14,622.48 and 6,870

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Solution

The fourth proportional to 10,596, 14,622.48 and 6,870 is: 9,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596 : 14,622.48 = 6,870 : x
  2. Step 2: Convert to fraction form
    10,596/14,622.48 = 6,870/x
  3. Step 3: Cross multiply
    10,596x = 14,622.48 × 6,870
  4. Step 4: Simplify right side
    10,596x = 100,456,437.60
  5. Step 5: Solve for x
    x = 100,456,437.60/10,596
  6. Step 6: Final answer
    x = 9,480.60

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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.