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Finding the Fourth Proportional to 11,598, 16,005.24 and 6,630

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Solution

The fourth proportional to 11,598, 16,005.24 and 6,630 is: 9,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598 : 16,005.24 = 6,630 : x
  2. Step 2: Convert to fraction form
    11,598/16,005.24 = 6,630/x
  3. Step 3: Cross multiply
    11,598x = 16,005.24 × 6,630
  4. Step 4: Simplify right side
    11,598x = 106,114,741.20
  5. Step 5: Solve for x
    x = 106,114,741.20/11,598
  6. Step 6: Final answer
    x = 9,149.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.