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Finding the Fourth Proportional to 10,802.25, 14,907.38 and 6,553.53

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Solution

The fourth proportional to 10,802.25, 14,907.38 and 6,553.53 is: 9,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.25 : 14,907.38 = 6,553.53 : x
  2. Step 2: Convert to fraction form
    10,802.25/14,907.38 = 6,553.53/x
  3. Step 3: Cross multiply
    10,802.25x = 14,907.38 × 6,553.53
  4. Step 4: Simplify right side
    10,802.25x = 97,695,962.05
  5. Step 5: Solve for x
    x = 97,695,962.05/10,802.25
  6. Step 6: Final answer
    x = 9,044.04

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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.