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Finding the Fourth Proportional to 6,510.51, 9,764.21 and 2,810.71

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Solution

The fourth proportional to 6,510.51, 9,764.21 and 2,810.71 is: 4,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.51 : 9,764.21 = 2,810.71 : x
  2. Step 2: Convert to fraction form
    6,510.51/9,764.21 = 2,810.71/x
  3. Step 3: Cross multiply
    6,510.51x = 9,764.21 × 2,810.71
  4. Step 4: Simplify right side
    6,510.51x = 27,444,394.13
  5. Step 5: Solve for x
    x = 27,444,394.13/6,510.51
  6. Step 6: Final answer
    x = 4,215.40

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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.