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Finding the Fourth Proportional to 9,571, 14,357.58 and 5,408.68

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Solution

The fourth proportional to 9,571, 14,357.58 and 5,408.68 is: 8,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571 : 14,357.58 = 5,408.68 : x
  2. Step 2: Convert to fraction form
    9,571/14,357.58 = 5,408.68/x
  3. Step 3: Cross multiply
    9,571x = 14,357.58 × 5,408.68
  4. Step 4: Simplify right side
    9,571x = 77,655,555.79
  5. Step 5: Solve for x
    x = 77,655,555.79/9,571
  6. Step 6: Final answer
    x = 8,113.63

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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.