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Finding the Fourth Proportional to 9,502.80, 14,255.64 and 4,571.52

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Solution

The fourth proportional to 9,502.80, 14,255.64 and 4,571.52 is: 6,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.80 : 14,255.64 = 4,571.52 : x
  2. Step 2: Convert to fraction form
    9,502.80/14,255.64 = 4,571.52/x
  3. Step 3: Cross multiply
    9,502.80x = 14,255.64 × 4,571.52
  4. Step 4: Simplify right side
    9,502.80x = 65,169,943.37
  5. Step 5: Solve for x
    x = 65,169,943.37/9,502.80
  6. Step 6: Final answer
    x = 6,857.97

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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.