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Finding the Fourth Proportional to 34,838.94, 52,267.09 and 10,214.94

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Solution

The fourth proportional to 34,838.94, 52,267.09 and 10,214.94 is: 15,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,838.94 : 52,267.09 = 10,214.94 : x
  2. Step 2: Convert to fraction form
    34,838.94/52,267.09 = 10,214.94/x
  3. Step 3: Cross multiply
    34,838.94x = 52,267.09 × 10,214.94
  4. Step 4: Simplify right side
    34,838.94x = 533,905,032.12
  5. Step 5: Solve for x
    x = 533,905,032.12/34,838.94
  6. Step 6: Final answer
    x = 15,324.95

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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.