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Finding the Fourth Proportional to 9,663, 14,488.32 and 4,111.74

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Solution

The fourth proportional to 9,663, 14,488.32 and 4,111.74 is: 6,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663 : 14,488.32 = 4,111.74 : x
  2. Step 2: Convert to fraction form
    9,663/14,488.32 = 4,111.74/x
  3. Step 3: Cross multiply
    9,663x = 14,488.32 × 4,111.74
  4. Step 4: Simplify right side
    9,663x = 59,572,204.88
  5. Step 5: Solve for x
    x = 59,572,204.88/9,663
  6. Step 6: Final answer
    x = 6,164.98

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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.