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Finding the Fourth Proportional to 6,798.80, 10,199.12 and 4,686.53

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Solution

The fourth proportional to 6,798.80, 10,199.12 and 4,686.53 is: 7,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.80 : 10,199.12 = 4,686.53 : x
  2. Step 2: Convert to fraction form
    6,798.80/10,199.12 = 4,686.53/x
  3. Step 3: Cross multiply
    6,798.80x = 10,199.12 × 4,686.53
  4. Step 4: Simplify right side
    6,798.80x = 47,798,407.43
  5. Step 5: Solve for x
    x = 47,798,407.43/6,798.80
  6. Step 6: Final answer
    x = 7,030.42

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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.