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Finding the Fourth Proportional to 9,502.70, 14,255.26 and 3,658.55

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Solution

The fourth proportional to 9,502.70, 14,255.26 and 3,658.55 is: 5,488.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.70 : 14,255.26 = 3,658.55 : x
  2. Step 2: Convert to fraction form
    9,502.70/14,255.26 = 3,658.55/x
  3. Step 3: Cross multiply
    9,502.70x = 14,255.26 × 3,658.55
  4. Step 4: Simplify right side
    9,502.70x = 52,153,501.05
  5. Step 5: Solve for x
    x = 52,153,501.05/9,502.70
  6. Step 6: Final answer
    x = 5,488.29

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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.