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Finding the Fourth Proportional to 9,314.66, 13,971.95 and 2,294.66

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Solution

The fourth proportional to 9,314.66, 13,971.95 and 2,294.66 is: 3,441.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.66 : 13,971.95 = 2,294.66 : x
  2. Step 2: Convert to fraction form
    9,314.66/13,971.95 = 2,294.66/x
  3. Step 3: Cross multiply
    9,314.66x = 13,971.95 × 2,294.66
  4. Step 4: Simplify right side
    9,314.66x = 32,060,863.31
  5. Step 5: Solve for x
    x = 32,060,863.31/9,314.66
  6. Step 6: Final answer
    x = 3,441.98

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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.