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Finding the Fourth Proportional to 7,646.69, 11,474.90 and 3,264.18

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Solution

The fourth proportional to 7,646.69, 11,474.90 and 3,264.18 is: 4,898.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.69 : 11,474.90 = 3,264.18 : x
  2. Step 2: Convert to fraction form
    7,646.69/11,474.90 = 3,264.18/x
  3. Step 3: Cross multiply
    7,646.69x = 11,474.90 × 3,264.18
  4. Step 4: Simplify right side
    7,646.69x = 37,456,122.76
  5. Step 5: Solve for x
    x = 37,456,122.76/7,646.69
  6. Step 6: Final answer
    x = 4,898.35

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1.5x scale

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.