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Finding the Fourth Proportional to 9,713.76, 14,573.70 and 3,473.62

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Solution

The fourth proportional to 9,713.76, 14,573.70 and 3,473.62 is: 5,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.76 : 14,573.70 = 3,473.62 : x
  2. Step 2: Convert to fraction form
    9,713.76/14,573.70 = 3,473.62/x
  3. Step 3: Cross multiply
    9,713.76x = 14,573.70 × 3,473.62
  4. Step 4: Simplify right side
    9,713.76x = 50,623,495.79
  5. Step 5: Solve for x
    x = 50,623,495.79/9,713.76
  6. Step 6: Final answer
    x = 5,211.52

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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.