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Finding the Fourth Proportional to 10,064.84, 15,098.29 and 2,669.30

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Solution

The fourth proportional to 10,064.84, 15,098.29 and 2,669.30 is: 4,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.84 : 15,098.29 = 2,669.30 : x
  2. Step 2: Convert to fraction form
    10,064.84/15,098.29 = 2,669.30/x
  3. Step 3: Cross multiply
    10,064.84x = 15,098.29 × 2,669.30
  4. Step 4: Simplify right side
    10,064.84x = 40,301,839.95
  5. Step 5: Solve for x
    x = 40,301,839.95/10,064.84
  6. Step 6: Final answer
    x = 4,004.22

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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.