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Finding the Fourth Proportional to 9,585.74, 13,234.39 and 7,343.46

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Solution

The fourth proportional to 9,585.74, 13,234.39 and 7,343.46 is: 10,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.74 : 13,234.39 = 7,343.46 : x
  2. Step 2: Convert to fraction form
    9,585.74/13,234.39 = 7,343.46/x
  3. Step 3: Cross multiply
    9,585.74x = 13,234.39 × 7,343.46
  4. Step 4: Simplify right side
    9,585.74x = 97,186,195.23
  5. Step 5: Solve for x
    x = 97,186,195.23/9,585.74
  6. Step 6: Final answer
    x = 10,138.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.