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Finding the Fourth Proportional to 8,386.77, 11,573.50 and 4,609.93

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Solution

The fourth proportional to 8,386.77, 11,573.50 and 4,609.93 is: 6,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.77 : 11,573.50 = 4,609.93 : x
  2. Step 2: Convert to fraction form
    8,386.77/11,573.50 = 4,609.93/x
  3. Step 3: Cross multiply
    8,386.77x = 11,573.50 × 4,609.93
  4. Step 4: Simplify right side
    8,386.77x = 53,353,024.86
  5. Step 5: Solve for x
    x = 53,353,024.86/8,386.77
  6. Step 6: Final answer
    x = 6,361.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.