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Finding the Fourth Proportional to 6,707.19, 9,256.64 and 4,054.65

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Solution

The fourth proportional to 6,707.19, 9,256.64 and 4,054.65 is: 5,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.19 : 9,256.64 = 4,054.65 : x
  2. Step 2: Convert to fraction form
    6,707.19/9,256.64 = 4,054.65/x
  3. Step 3: Cross multiply
    6,707.19x = 9,256.64 × 4,054.65
  4. Step 4: Simplify right side
    6,707.19x = 37,532,435.38
  5. Step 5: Solve for x
    x = 37,532,435.38/6,707.19
  6. Step 6: Final answer
    x = 5,595.85

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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.