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Finding the Fourth Proportional to 6,216.80, 9,325.28 and 1,834.32

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Solution

The fourth proportional to 6,216.80, 9,325.28 and 1,834.32 is: 2,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.80 : 9,325.28 = 1,834.32 : x
  2. Step 2: Convert to fraction form
    6,216.80/9,325.28 = 1,834.32/x
  3. Step 3: Cross multiply
    6,216.80x = 9,325.28 × 1,834.32
  4. Step 4: Simplify right side
    6,216.80x = 17,105,547.61
  5. Step 5: Solve for x
    x = 17,105,547.61/6,216.80
  6. Step 6: Final answer
    x = 2,751.50

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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.