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Finding the Fourth Proportional to 7,663.40, 11,495.10 and 3,046.40

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Solution

The fourth proportional to 7,663.40, 11,495.10 and 3,046.40 is: 4,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.40 : 11,495.10 = 3,046.40 : x
  2. Step 2: Convert to fraction form
    7,663.40/11,495.10 = 3,046.40/x
  3. Step 3: Cross multiply
    7,663.40x = 11,495.10 × 3,046.40
  4. Step 4: Simplify right side
    7,663.40x = 35,018,672.64
  5. Step 5: Solve for x
    x = 35,018,672.64/7,663.40
  6. Step 6: Final answer
    x = 4,569.60

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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.