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Finding the Fourth Proportional to 7,254.99, 10,022.00 and 6,985.26

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Solution

The fourth proportional to 7,254.99, 10,022.00 and 6,985.26 is: 9,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.99 : 10,022.00 = 6,985.26 : x
  2. Step 2: Convert to fraction form
    7,254.99/10,022.00 = 6,985.26/x
  3. Step 3: Cross multiply
    7,254.99x = 10,022.00 × 6,985.26
  4. Step 4: Simplify right side
    7,254.99x = 70,006,240.79
  5. Step 5: Solve for x
    x = 70,006,240.79/7,254.99
  6. Step 6: Final answer
    x = 9,649.39

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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.