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Finding the Fourth Proportional to 9,657.50, 14,484.62 and 2,730.38

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Solution

The fourth proportional to 9,657.50, 14,484.62 and 2,730.38 is: 4,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.50 : 14,484.62 = 2,730.38 : x
  2. Step 2: Convert to fraction form
    9,657.50/14,484.62 = 2,730.38/x
  3. Step 3: Cross multiply
    9,657.50x = 14,484.62 × 2,730.38
  4. Step 4: Simplify right side
    9,657.50x = 39,548,430.68
  5. Step 5: Solve for x
    x = 39,548,430.68/9,657.50
  6. Step 6: Final answer
    x = 4,095.10

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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.