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Finding the Fourth Proportional to 9,503.66, 14,251.88 and 3,802.88

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Solution

The fourth proportional to 9,503.66, 14,251.88 and 3,802.88 is: 5,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.66 : 14,251.88 = 3,802.88 : x
  2. Step 2: Convert to fraction form
    9,503.66/14,251.88 = 3,802.88/x
  3. Step 3: Cross multiply
    9,503.66x = 14,251.88 × 3,802.88
  4. Step 4: Simplify right side
    9,503.66x = 54,198,234.55
  5. Step 5: Solve for x
    x = 54,198,234.55/9,503.66
  6. Step 6: Final answer
    x = 5,702.88

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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.