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Finding the Fourth Proportional to 6,510.03, 9,742.37 and 5,326.35

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Solution

The fourth proportional to 6,510.03, 9,742.37 and 5,326.35 is: 7,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.03 : 9,742.37 = 5,326.35 : x
  2. Step 2: Convert to fraction form
    6,510.03/9,742.37 = 5,326.35/x
  3. Step 3: Cross multiply
    6,510.03x = 9,742.37 × 5,326.35
  4. Step 4: Simplify right side
    6,510.03x = 51,891,245.82
  5. Step 5: Solve for x
    x = 51,891,245.82/6,510.03
  6. Step 6: Final answer
    x = 7,970.97

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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.