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Finding the Fourth Proportional to 6,972, 10,458.98 and 2,042.00

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Solution

The fourth proportional to 6,972, 10,458.98 and 2,042.00 is: 3,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 10,458.98 = 2,042.00 : x
  2. Step 2: Convert to fraction form
    6,972/10,458.98 = 2,042.00/x
  3. Step 3: Cross multiply
    6,972x = 10,458.98 × 2,042.00
  4. Step 4: Simplify right side
    6,972x = 21,357,174.66
  5. Step 5: Solve for x
    x = 21,357,174.66/6,972
  6. Step 6: Final answer
    x = 3,063.28

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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.