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Finding the Fourth Proportional to 8,157.93, 11,257.95 and 4,431.93

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Solution

The fourth proportional to 8,157.93, 11,257.95 and 4,431.93 is: 6,116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.93 : 11,257.95 = 4,431.93 : x
  2. Step 2: Convert to fraction form
    8,157.93/11,257.95 = 4,431.93/x
  3. Step 3: Cross multiply
    8,157.93x = 11,257.95 × 4,431.93
  4. Step 4: Simplify right side
    8,157.93x = 49,894,446.34
  5. Step 5: Solve for x
    x = 49,894,446.34/8,157.93
  6. Step 6: Final answer
    x = 6,116.07

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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.