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Finding the Fourth Proportional to 10,396.89, 15,595.74 and 6,696

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Solution

The fourth proportional to 10,396.89, 15,595.74 and 6,696 is: 10,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.89 : 15,595.74 = 6,696 : x
  2. Step 2: Convert to fraction form
    10,396.89/15,595.74 = 6,696/x
  3. Step 3: Cross multiply
    10,396.89x = 15,595.74 × 6,696
  4. Step 4: Simplify right side
    10,396.89x = 104,429,075.04
  5. Step 5: Solve for x
    x = 104,429,075.04/10,396.89
  6. Step 6: Final answer
    x = 10,044.26

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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.