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Finding the Fourth Proportional to 9,663.16, 14,495.94 and 3,421.70

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Solution

The fourth proportional to 9,663.16, 14,495.94 and 3,421.70 is: 5,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.16 : 14,495.94 = 3,421.70 : x
  2. Step 2: Convert to fraction form
    9,663.16/14,495.94 = 3,421.70/x
  3. Step 3: Cross multiply
    9,663.16x = 14,495.94 × 3,421.70
  4. Step 4: Simplify right side
    9,663.16x = 49,600,757.90
  5. Step 5: Solve for x
    x = 49,600,757.90/9,663.16
  6. Step 6: Final answer
    x = 5,132.97

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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.