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Finding the Fourth Proportional to 34,384.68, 51,577.04 and 9,424.94

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Solution

The fourth proportional to 34,384.68, 51,577.04 and 9,424.94 is: 14,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,384.68 : 51,577.04 = 9,424.94 : x
  2. Step 2: Convert to fraction form
    34,384.68/51,577.04 = 9,424.94/x
  3. Step 3: Cross multiply
    34,384.68x = 51,577.04 × 9,424.94
  4. Step 4: Simplify right side
    34,384.68x = 486,110,507.38
  5. Step 5: Solve for x
    x = 486,110,507.38/34,384.68
  6. Step 6: Final answer
    x = 14,137.42

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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.