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Finding the Fourth Proportional to 9,520.48, 14,255.88 and 7,661.44

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Solution

The fourth proportional to 9,520.48, 14,255.88 and 7,661.44 is: 11,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.48 : 14,255.88 = 7,661.44 : x
  2. Step 2: Convert to fraction form
    9,520.48/14,255.88 = 7,661.44/x
  3. Step 3: Cross multiply
    9,520.48x = 14,255.88 × 7,661.44
  4. Step 4: Simplify right side
    9,520.48x = 109,220,569.27
  5. Step 5: Solve for x
    x = 109,220,569.27/9,520.48
  6. Step 6: Final answer
    x = 11,472.17

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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.