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Finding the Fourth Proportional to 6,332, 9,498.27 and 1,715

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Solution

The fourth proportional to 6,332, 9,498.27 and 1,715 is: 2,572.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332 : 9,498.27 = 1,715 : x
  2. Step 2: Convert to fraction form
    6,332/9,498.27 = 1,715/x
  3. Step 3: Cross multiply
    6,332x = 9,498.27 × 1,715
  4. Step 4: Simplify right side
    6,332x = 16,289,533.05
  5. Step 5: Solve for x
    x = 16,289,533.05/6,332
  6. Step 6: Final answer
    x = 2,572.57

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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.