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Finding the Fourth Proportional to 9,877.86, 14,828.37 and 7,799.27

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Solution

The fourth proportional to 9,877.86, 14,828.37 and 7,799.27 is: 11,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.86 : 14,828.37 = 7,799.27 : x
  2. Step 2: Convert to fraction form
    9,877.86/14,828.37 = 7,799.27/x
  3. Step 3: Cross multiply
    9,877.86x = 14,828.37 × 7,799.27
  4. Step 4: Simplify right side
    9,877.86x = 115,650,357.90
  5. Step 5: Solve for x
    x = 115,650,357.90/9,877.86
  6. Step 6: Final answer
    x = 11,708.04

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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.