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Finding the Fourth Proportional to 6,925.76, 10,392 and 3,641.60

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Solution

The fourth proportional to 6,925.76, 10,392 and 3,641.60 is: 5,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.76 : 10,392 = 3,641.60 : x
  2. Step 2: Convert to fraction form
    6,925.76/10,392 = 3,641.60/x
  3. Step 3: Cross multiply
    6,925.76x = 10,392 × 3,641.60
  4. Step 4: Simplify right side
    6,925.76x = 37,843,507.20
  5. Step 5: Solve for x
    x = 37,843,507.20/6,925.76
  6. Step 6: Final answer
    x = 5,464.17

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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.