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Finding the Fourth Proportional to 7,644, 10,548.88 and 4,332

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Solution

The fourth proportional to 7,644, 10,548.88 and 4,332 is: 5,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644 : 10,548.88 = 4,332 : x
  2. Step 2: Convert to fraction form
    7,644/10,548.88 = 4,332/x
  3. Step 3: Cross multiply
    7,644x = 10,548.88 × 4,332
  4. Step 4: Simplify right side
    7,644x = 45,697,748.16
  5. Step 5: Solve for x
    x = 45,697,748.16/7,644
  6. Step 6: Final answer
    x = 5,978.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.