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Finding the Fourth Proportional to 7,877.88, 11,816.10 and 4,588.92

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Solution

The fourth proportional to 7,877.88, 11,816.10 and 4,588.92 is: 6,882.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.88 : 11,816.10 = 4,588.92 : x
  2. Step 2: Convert to fraction form
    7,877.88/11,816.10 = 4,588.92/x
  3. Step 3: Cross multiply
    7,877.88x = 11,816.10 × 4,588.92
  4. Step 4: Simplify right side
    7,877.88x = 54,223,137.61
  5. Step 5: Solve for x
    x = 54,223,137.61/7,877.88
  6. Step 6: Final answer
    x = 6,882.96

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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.