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Finding the Fourth Proportional to 11,562.95, 15,956.92 and 6,257.77

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Solution

The fourth proportional to 11,562.95, 15,956.92 and 6,257.77 is: 8,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.95 : 15,956.92 = 6,257.77 : x
  2. Step 2: Convert to fraction form
    11,562.95/15,956.92 = 6,257.77/x
  3. Step 3: Cross multiply
    11,562.95x = 15,956.92 × 6,257.77
  4. Step 4: Simplify right side
    11,562.95x = 99,854,703.20
  5. Step 5: Solve for x
    x = 99,854,703.20/11,562.95
  6. Step 6: Final answer
    x = 8,635.75

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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.