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Finding the Fourth Proportional to 34,119, 51,171.44 and 9,153.13

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Solution

The fourth proportional to 34,119, 51,171.44 and 9,153.13 is: 13,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,119 : 51,171.44 = 9,153.13 : x
  2. Step 2: Convert to fraction form
    34,119/51,171.44 = 9,153.13/x
  3. Step 3: Cross multiply
    34,119x = 51,171.44 × 9,153.13
  4. Step 4: Simplify right side
    34,119x = 468,378,842.61
  5. Step 5: Solve for x
    x = 468,378,842.61/34,119
  6. Step 6: Final answer
    x = 13,727.80

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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.