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Finding the Fourth Proportional to 6,657.16, 9,977.04 and 3,368.47

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Solution

The fourth proportional to 6,657.16, 9,977.04 and 3,368.47 is: 5,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.16 : 9,977.04 = 3,368.47 : x
  2. Step 2: Convert to fraction form
    6,657.16/9,977.04 = 3,368.47/x
  3. Step 3: Cross multiply
    6,657.16x = 9,977.04 × 3,368.47
  4. Step 4: Simplify right side
    6,657.16x = 33,607,359.93
  5. Step 5: Solve for x
    x = 33,607,359.93/6,657.16
  6. Step 6: Final answer
    x = 5,048.30

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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.