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Finding the Fourth Proportional to 6,448.38, 8,903.82 and 4,953.96

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Solution

The fourth proportional to 6,448.38, 8,903.82 and 4,953.96 is: 6,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.38 : 8,903.82 = 4,953.96 : x
  2. Step 2: Convert to fraction form
    6,448.38/8,903.82 = 4,953.96/x
  3. Step 3: Cross multiply
    6,448.38x = 8,903.82 × 4,953.96
  4. Step 4: Simplify right side
    6,448.38x = 44,109,168.13
  5. Step 5: Solve for x
    x = 44,109,168.13/6,448.38
  6. Step 6: Final answer
    x = 6,840.35

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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.