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Finding the Fourth Proportional to 10,049.93, 15,075.02 and 6,929.10

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Solution

The fourth proportional to 10,049.93, 15,075.02 and 6,929.10 is: 10,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.93 : 15,075.02 = 6,929.10 : x
  2. Step 2: Convert to fraction form
    10,049.93/15,075.02 = 6,929.10/x
  3. Step 3: Cross multiply
    10,049.93x = 15,075.02 × 6,929.10
  4. Step 4: Simplify right side
    10,049.93x = 104,456,338.40
  5. Step 5: Solve for x
    x = 104,456,338.40/10,049.93
  6. Step 6: Final answer
    x = 10,393.74

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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.