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Finding the Fourth Proportional to 9,581.68, 13,223.10 and 5,802.70

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Solution

The fourth proportional to 9,581.68, 13,223.10 and 5,802.70 is: 8,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.68 : 13,223.10 = 5,802.70 : x
  2. Step 2: Convert to fraction form
    9,581.68/13,223.10 = 5,802.70/x
  3. Step 3: Cross multiply
    9,581.68x = 13,223.10 × 5,802.70
  4. Step 4: Simplify right side
    9,581.68x = 76,729,682.37
  5. Step 5: Solve for x
    x = 76,729,682.37/9,581.68
  6. Step 6: Final answer
    x = 8,007.96

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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.