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Finding the Fourth Proportional to 7,712.54, 11,568.81 and 1,869.13

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Solution

The fourth proportional to 7,712.54, 11,568.81 and 1,869.13 is: 2,803.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.54 : 11,568.81 = 1,869.13 : x
  2. Step 2: Convert to fraction form
    7,712.54/11,568.81 = 1,869.13/x
  3. Step 3: Cross multiply
    7,712.54x = 11,568.81 × 1,869.13
  4. Step 4: Simplify right side
    7,712.54x = 21,623,609.84
  5. Step 5: Solve for x
    x = 21,623,609.84/7,712.54
  6. Step 6: Final answer
    x = 2,803.70

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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.