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Finding the Fourth Proportional to 7,646.34, 11,473 and 4,532.52

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Solution

The fourth proportional to 7,646.34, 11,473 and 4,532.52 is: 6,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.34 : 11,473 = 4,532.52 : x
  2. Step 2: Convert to fraction form
    7,646.34/11,473 = 4,532.52/x
  3. Step 3: Cross multiply
    7,646.34x = 11,473 × 4,532.52
  4. Step 4: Simplify right side
    7,646.34x = 52,001,601.96
  5. Step 5: Solve for x
    x = 52,001,601.96/7,646.34
  6. Step 6: Final answer
    x = 6,800.85

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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.