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Finding the Fourth Proportional to 6,359, 9,527.38 and 4,412.44

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Solution

The fourth proportional to 6,359, 9,527.38 and 4,412.44 is: 6,610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359 : 9,527.38 = 4,412.44 : x
  2. Step 2: Convert to fraction form
    6,359/9,527.38 = 4,412.44/x
  3. Step 3: Cross multiply
    6,359x = 9,527.38 × 4,412.44
  4. Step 4: Simplify right side
    6,359x = 42,038,992.61
  5. Step 5: Solve for x
    x = 42,038,992.61/6,359
  6. Step 6: Final answer
    x = 6,610.94

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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.