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Finding the Fourth Proportional to 7,802.13, 11,703.21 and 1,958.74

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Solution

The fourth proportional to 7,802.13, 11,703.21 and 1,958.74 is: 2,938.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.13 : 11,703.21 = 1,958.74 : x
  2. Step 2: Convert to fraction form
    7,802.13/11,703.21 = 1,958.74/x
  3. Step 3: Cross multiply
    7,802.13x = 11,703.21 × 1,958.74
  4. Step 4: Simplify right side
    7,802.13x = 22,923,545.56
  5. Step 5: Solve for x
    x = 22,923,545.56/7,802.13
  6. Step 6: Final answer
    x = 2,938.11

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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.