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Finding the Fourth Proportional to 34,145, 51,219.42 and 9,522.92

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Solution

The fourth proportional to 34,145, 51,219.42 and 9,522.92 is: 14,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,145 : 51,219.42 = 9,522.92 : x
  2. Step 2: Convert to fraction form
    34,145/51,219.42 = 9,522.92/x
  3. Step 3: Cross multiply
    34,145x = 51,219.42 × 9,522.92
  4. Step 4: Simplify right side
    34,145x = 487,758,439.11
  5. Step 5: Solve for x
    x = 487,758,439.11/34,145
  6. Step 6: Final answer
    x = 14,284.92

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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.