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Finding the Fourth Proportional to 6,324, 9,486 and 1,707

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Solution

The fourth proportional to 6,324, 9,486 and 1,707 is: 2,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324 : 9,486 = 1,707 : x
  2. Step 2: Convert to fraction form
    6,324/9,486 = 1,707/x
  3. Step 3: Cross multiply
    6,324x = 9,486 × 1,707
  4. Step 4: Simplify right side
    6,324x = 16,192,602
  5. Step 5: Solve for x
    x = 16,192,602/6,324
  6. Step 6: Final answer
    x = 2,560.50

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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.