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Finding the Fourth Proportional to 8,460, 11,674.80 and 4,734

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Solution

The fourth proportional to 8,460, 11,674.80 and 4,734 is: 6,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,460 : 11,674.80 = 4,734 : x
  2. Step 2: Convert to fraction form
    8,460/11,674.80 = 4,734/x
  3. Step 3: Cross multiply
    8,460x = 11,674.80 × 4,734
  4. Step 4: Simplify right side
    8,460x = 55,268,503.20
  5. Step 5: Solve for x
    x = 55,268,503.20/8,460
  6. Step 6: Final answer
    x = 6,532.92

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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.