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Finding the Fourth Proportional to 11,657.80, 17,484.90 and 4,730.68

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Solution

The fourth proportional to 11,657.80, 17,484.90 and 4,730.68 is: 7,095.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.80 : 17,484.90 = 4,730.68 : x
  2. Step 2: Convert to fraction form
    11,657.80/17,484.90 = 4,730.68/x
  3. Step 3: Cross multiply
    11,657.80x = 17,484.90 × 4,730.68
  4. Step 4: Simplify right side
    11,657.80x = 82,715,466.73
  5. Step 5: Solve for x
    x = 82,715,466.73/11,657.80
  6. Step 6: Final answer
    x = 7,095.29

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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.