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Finding the Fourth Proportional to 6,341.68, 9,506.04 and 3,052

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Solution

The fourth proportional to 6,341.68, 9,506.04 and 3,052 is: 4,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.68 : 9,506.04 = 3,052 : x
  2. Step 2: Convert to fraction form
    6,341.68/9,506.04 = 3,052/x
  3. Step 3: Cross multiply
    6,341.68x = 9,506.04 × 3,052
  4. Step 4: Simplify right side
    6,341.68x = 29,012,434.08
  5. Step 5: Solve for x
    x = 29,012,434.08/6,341.68
  6. Step 6: Final answer
    x = 4,574.88

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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.