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Finding the Fourth Proportional to 6,907.18, 9,530.52 and 4,779.38

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Solution

The fourth proportional to 6,907.18, 9,530.52 and 4,779.38 is: 6,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.18 : 9,530.52 = 4,779.38 : x
  2. Step 2: Convert to fraction form
    6,907.18/9,530.52 = 4,779.38/x
  3. Step 3: Cross multiply
    6,907.18x = 9,530.52 × 4,779.38
  4. Step 4: Simplify right side
    6,907.18x = 45,549,976.68
  5. Step 5: Solve for x
    x = 45,549,976.68/6,907.18
  6. Step 6: Final answer
    x = 6,594.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.