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Finding the Fourth Proportional to 9,722.40, 14,580 and 7,646.44

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Solution

The fourth proportional to 9,722.40, 14,580 and 7,646.44 is: 11,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.40 : 14,580 = 7,646.44 : x
  2. Step 2: Convert to fraction form
    9,722.40/14,580 = 7,646.44/x
  3. Step 3: Cross multiply
    9,722.40x = 14,580 × 7,646.44
  4. Step 4: Simplify right side
    9,722.40x = 111,485,095.20
  5. Step 5: Solve for x
    x = 111,485,095.20/9,722.40
  6. Step 6: Final answer
    x = 11,466.83

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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.