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Finding the Fourth Proportional to 9,657.77, 14,485.77 and 3,082.86

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Solution

The fourth proportional to 9,657.77, 14,485.77 and 3,082.86 is: 4,624.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.77 : 14,485.77 = 3,082.86 : x
  2. Step 2: Convert to fraction form
    9,657.77/14,485.77 = 3,082.86/x
  3. Step 3: Cross multiply
    9,657.77x = 14,485.77 × 3,082.86
  4. Step 4: Simplify right side
    9,657.77x = 44,657,600.90
  5. Step 5: Solve for x
    x = 44,657,600.90/9,657.77
  6. Step 6: Final answer
    x = 4,624.01

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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.