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Finding the Fourth Proportional to 6,415.78, 8,853.16 and 3,582.94

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Solution

The fourth proportional to 6,415.78, 8,853.16 and 3,582.94 is: 4,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.78 : 8,853.16 = 3,582.94 : x
  2. Step 2: Convert to fraction form
    6,415.78/8,853.16 = 3,582.94/x
  3. Step 3: Cross multiply
    6,415.78x = 8,853.16 × 3,582.94
  4. Step 4: Simplify right side
    6,415.78x = 31,720,341.09
  5. Step 5: Solve for x
    x = 31,720,341.09/6,415.78
  6. Step 6: Final answer
    x = 4,944.11

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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.