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Finding the Fourth Proportional to 7,852.98, 11,779.20 and 2,009.64

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Solution

The fourth proportional to 7,852.98, 11,779.20 and 2,009.64 is: 3,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.98 : 11,779.20 = 2,009.64 : x
  2. Step 2: Convert to fraction form
    7,852.98/11,779.20 = 2,009.64/x
  3. Step 3: Cross multiply
    7,852.98x = 11,779.20 × 2,009.64
  4. Step 4: Simplify right side
    7,852.98x = 23,671,951.49
  5. Step 5: Solve for x
    x = 23,671,951.49/7,852.98
  6. Step 6: Final answer
    x = 3,014.39

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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.