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Finding the Fourth Proportional to 8,428, 11,630.64 and 4,702

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Solution

The fourth proportional to 8,428, 11,630.64 and 4,702 is: 6,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428 : 11,630.64 = 4,702 : x
  2. Step 2: Convert to fraction form
    8,428/11,630.64 = 4,702/x
  3. Step 3: Cross multiply
    8,428x = 11,630.64 × 4,702
  4. Step 4: Simplify right side
    8,428x = 54,687,269.28
  5. Step 5: Solve for x
    x = 54,687,269.28/8,428
  6. Step 6: Final answer
    x = 6,488.76

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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.