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Finding the Fourth Proportional to 16,124.90, 22,257 and 9,751.50

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Solution

The fourth proportional to 16,124.90, 22,257 and 9,751.50 is: 13,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.90 : 22,257 = 9,751.50 : x
  2. Step 2: Convert to fraction form
    16,124.90/22,257 = 9,751.50/x
  3. Step 3: Cross multiply
    16,124.90x = 22,257 × 9,751.50
  4. Step 4: Simplify right side
    16,124.90x = 217,039,135.50
  5. Step 5: Solve for x
    x = 217,039,135.50/16,124.90
  6. Step 6: Final answer
    x = 13,459.87

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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.