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Finding the Fourth Proportional to 9,570.52, 14,356.86 and 4,375

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Solution

The fourth proportional to 9,570.52, 14,356.86 and 4,375 is: 6,562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.52 : 14,356.86 = 4,375 : x
  2. Step 2: Convert to fraction form
    9,570.52/14,356.86 = 4,375/x
  3. Step 3: Cross multiply
    9,570.52x = 14,356.86 × 4,375
  4. Step 4: Simplify right side
    9,570.52x = 62,811,262.50
  5. Step 5: Solve for x
    x = 62,811,262.50/9,570.52
  6. Step 6: Final answer
    x = 6,562.99

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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.