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Finding the Fourth Proportional to 6,338.16, 9,488.88 and 4,784.58

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Solution

The fourth proportional to 6,338.16, 9,488.88 and 4,784.58 is: 7,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.16 : 9,488.88 = 4,784.58 : x
  2. Step 2: Convert to fraction form
    6,338.16/9,488.88 = 4,784.58/x
  3. Step 3: Cross multiply
    6,338.16x = 9,488.88 × 4,784.58
  4. Step 4: Simplify right side
    6,338.16x = 45,400,305.47
  5. Step 5: Solve for x
    x = 45,400,305.47/6,338.16
  6. Step 6: Final answer
    x = 7,163.01

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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.