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Finding the Fourth Proportional to 6,461.16, 9,696.04 and 2,357.16

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Solution

The fourth proportional to 6,461.16, 9,696.04 and 2,357.16 is: 3,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.16 : 9,696.04 = 2,357.16 : x
  2. Step 2: Convert to fraction form
    6,461.16/9,696.04 = 2,357.16/x
  3. Step 3: Cross multiply
    6,461.16x = 9,696.04 × 2,357.16
  4. Step 4: Simplify right side
    6,461.16x = 22,855,117.65
  5. Step 5: Solve for x
    x = 22,855,117.65/6,461.16
  6. Step 6: Final answer
    x = 3,537.31

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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.