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Finding the Fourth Proportional to 22,954.86, 34,430.58 and 6,314.40

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Solution

The fourth proportional to 22,954.86, 34,430.58 and 6,314.40 is: 9,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.86 : 34,430.58 = 6,314.40 : x
  2. Step 2: Convert to fraction form
    22,954.86/34,430.58 = 6,314.40/x
  3. Step 3: Cross multiply
    22,954.86x = 34,430.58 × 6,314.40
  4. Step 4: Simplify right side
    22,954.86x = 217,408,454.35
  5. Step 5: Solve for x
    x = 217,408,454.35/22,954.86
  6. Step 6: Final answer
    x = 9,471.13

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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.