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Finding the Fourth Proportional to 10,649.02, 15,891.48 and 9,353.22

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Solution

The fourth proportional to 10,649.02, 15,891.48 and 9,353.22 is: 13,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.02 : 15,891.48 = 9,353.22 : x
  2. Step 2: Convert to fraction form
    10,649.02/15,891.48 = 9,353.22/x
  3. Step 3: Cross multiply
    10,649.02x = 15,891.48 × 9,353.22
  4. Step 4: Simplify right side
    10,649.02x = 148,636,525.21
  5. Step 5: Solve for x
    x = 148,636,525.21/10,649.02
  6. Step 6: Final answer
    x = 13,957.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.