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Finding the Fourth Proportional to 11,658, 17,487.12 and 6,474.78

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Solution

The fourth proportional to 11,658, 17,487.12 and 6,474.78 is: 9,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658 : 17,487.12 = 6,474.78 : x
  2. Step 2: Convert to fraction form
    11,658/17,487.12 = 6,474.78/x
  3. Step 3: Cross multiply
    11,658x = 17,487.12 × 6,474.78
  4. Step 4: Simplify right side
    11,658x = 113,225,254.83
  5. Step 5: Solve for x
    x = 113,225,254.83/11,658
  6. Step 6: Final answer
    x = 9,712.24

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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.