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Finding the Fourth Proportional to 6,655.18, 9,974.80 and 2,953.24

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Solution

The fourth proportional to 6,655.18, 9,974.80 and 2,953.24 is: 4,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.18 : 9,974.80 = 2,953.24 : x
  2. Step 2: Convert to fraction form
    6,655.18/9,974.80 = 2,953.24/x
  3. Step 3: Cross multiply
    6,655.18x = 9,974.80 × 2,953.24
  4. Step 4: Simplify right side
    6,655.18x = 29,457,913.71
  5. Step 5: Solve for x
    x = 29,457,913.71/6,655.18
  6. Step 6: Final answer
    x = 4,426.31

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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.