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Finding the Fourth Proportional to 6,542.84, 9,807.53 and 2,592.51

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Solution

The fourth proportional to 6,542.84, 9,807.53 and 2,592.51 is: 3,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.84 : 9,807.53 = 2,592.51 : x
  2. Step 2: Convert to fraction form
    6,542.84/9,807.53 = 2,592.51/x
  3. Step 3: Cross multiply
    6,542.84x = 9,807.53 × 2,592.51
  4. Step 4: Simplify right side
    6,542.84x = 25,426,106.64
  5. Step 5: Solve for x
    x = 25,426,106.64/6,542.84
  6. Step 6: Final answer
    x = 3,886.10

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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.