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Finding the Fourth Proportional to 4,661.84, 6,433.44 and 2,565.92

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Solution

The fourth proportional to 4,661.84, 6,433.44 and 2,565.92 is: 3,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.84 : 6,433.44 = 2,565.92 : x
  2. Step 2: Convert to fraction form
    4,661.84/6,433.44 = 2,565.92/x
  3. Step 3: Cross multiply
    4,661.84x = 6,433.44 × 2,565.92
  4. Step 4: Simplify right side
    4,661.84x = 16,507,692.36
  5. Step 5: Solve for x
    x = 16,507,692.36/4,661.84
  6. Step 6: Final answer
    x = 3,541.03

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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.