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Finding the Fourth Proportional to 7,870.94, 11,807.49 and 2,324.69

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Solution

The fourth proportional to 7,870.94, 11,807.49 and 2,324.69 is: 3,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.94 : 11,807.49 = 2,324.69 : x
  2. Step 2: Convert to fraction form
    7,870.94/11,807.49 = 2,324.69/x
  3. Step 3: Cross multiply
    7,870.94x = 11,807.49 × 2,324.69
  4. Step 4: Simplify right side
    7,870.94x = 27,448,753.93
  5. Step 5: Solve for x
    x = 27,448,753.93/7,870.94
  6. Step 6: Final answer
    x = 3,487.35

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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.