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Finding the Fourth Proportional to 14,024.52, 19,352.88 and 7,737

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Solution

The fourth proportional to 14,024.52, 19,352.88 and 7,737 is: 10,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.52 : 19,352.88 = 7,737 : x
  2. Step 2: Convert to fraction form
    14,024.52/19,352.88 = 7,737/x
  3. Step 3: Cross multiply
    14,024.52x = 19,352.88 × 7,737
  4. Step 4: Simplify right side
    14,024.52x = 149,733,232.56
  5. Step 5: Solve for x
    x = 149,733,232.56/14,024.52
  6. Step 6: Final answer
    x = 10,676.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.