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Finding the Fourth Proportional to 7,853.07, 11,779.54 and 2,009.67

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Solution

The fourth proportional to 7,853.07, 11,779.54 and 2,009.67 is: 3,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.07 : 11,779.54 = 2,009.67 : x
  2. Step 2: Convert to fraction form
    7,853.07/11,779.54 = 2,009.67/x
  3. Step 3: Cross multiply
    7,853.07x = 11,779.54 × 2,009.67
  4. Step 4: Simplify right side
    7,853.07x = 23,672,988.15
  5. Step 5: Solve for x
    x = 23,672,988.15/7,853.07
  6. Step 6: Final answer
    x = 3,014.49

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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.