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Finding the Fourth Proportional to 10,697.80, 16,053.90 and 4,851.40

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Solution

The fourth proportional to 10,697.80, 16,053.90 and 4,851.40 is: 7,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.80 : 16,053.90 = 4,851.40 : x
  2. Step 2: Convert to fraction form
    10,697.80/16,053.90 = 4,851.40/x
  3. Step 3: Cross multiply
    10,697.80x = 16,053.90 × 4,851.40
  4. Step 4: Simplify right side
    10,697.80x = 77,883,890.46
  5. Step 5: Solve for x
    x = 77,883,890.46/10,697.80
  6. Step 6: Final answer
    x = 7,280.37

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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.