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Finding the Fourth Proportional to 6,530.10, 9,782.82 and 5,062.08

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Solution

The fourth proportional to 6,530.10, 9,782.82 and 5,062.08 is: 7,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.10 : 9,782.82 = 5,062.08 : x
  2. Step 2: Convert to fraction form
    6,530.10/9,782.82 = 5,062.08/x
  3. Step 3: Cross multiply
    6,530.10x = 9,782.82 × 5,062.08
  4. Step 4: Simplify right side
    6,530.10x = 49,521,417.47
  5. Step 5: Solve for x
    x = 49,521,417.47/6,530.10
  6. Step 6: Final answer
    x = 7,583.56

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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.