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Finding the Fourth Proportional to 15,752.75, 21,738.55 and 9,038.22

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Solution

The fourth proportional to 15,752.75, 21,738.55 and 9,038.22 is: 12,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,752.75 : 21,738.55 = 9,038.22 : x
  2. Step 2: Convert to fraction form
    15,752.75/21,738.55 = 9,038.22/x
  3. Step 3: Cross multiply
    15,752.75x = 21,738.55 × 9,038.22
  4. Step 4: Simplify right side
    15,752.75x = 196,477,797.38
  5. Step 5: Solve for x
    x = 196,477,797.38/15,752.75
  6. Step 6: Final answer
    x = 12,472.61

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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.