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Finding the Fourth Proportional to 9,661.58, 14,486.81 and 5,153.08

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Solution

The fourth proportional to 9,661.58, 14,486.81 and 5,153.08 is: 7,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.58 : 14,486.81 = 5,153.08 : x
  2. Step 2: Convert to fraction form
    9,661.58/14,486.81 = 5,153.08/x
  3. Step 3: Cross multiply
    9,661.58x = 14,486.81 × 5,153.08
  4. Step 4: Simplify right side
    9,661.58x = 74,651,690.87
  5. Step 5: Solve for x
    x = 74,651,690.87/9,661.58
  6. Step 6: Final answer
    x = 7,726.65

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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.