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Finding the Fourth Proportional to 6,541.84, 9,743.49 and 6,509.98

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Solution

The fourth proportional to 6,541.84, 9,743.49 and 6,509.98 is: 9,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.84 : 9,743.49 = 6,509.98 : x
  2. Step 2: Convert to fraction form
    6,541.84/9,743.49 = 6,509.98/x
  3. Step 3: Cross multiply
    6,541.84x = 9,743.49 × 6,509.98
  4. Step 4: Simplify right side
    6,541.84x = 63,429,843.76
  5. Step 5: Solve for x
    x = 63,429,843.76/6,541.84
  6. Step 6: Final answer
    x = 9,696.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.