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Finding the Fourth Proportional to 6,415.83, 8,853.08 and 3,583.40

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Solution

The fourth proportional to 6,415.83, 8,853.08 and 3,583.40 is: 4,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.83 : 8,853.08 = 3,583.40 : x
  2. Step 2: Convert to fraction form
    6,415.83/8,853.08 = 3,583.40/x
  3. Step 3: Cross multiply
    6,415.83x = 8,853.08 × 3,583.40
  4. Step 4: Simplify right side
    6,415.83x = 31,724,064.69
  5. Step 5: Solve for x
    x = 31,724,064.69/6,415.83
  6. Step 6: Final answer
    x = 4,944.65

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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.