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Finding the Fourth Proportional to 8,377.64, 11,561.25 and 4,600.25

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Solution

The fourth proportional to 8,377.64, 11,561.25 and 4,600.25 is: 6,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.64 : 11,561.25 = 4,600.25 : x
  2. Step 2: Convert to fraction form
    8,377.64/11,561.25 = 4,600.25/x
  3. Step 3: Cross multiply
    8,377.64x = 11,561.25 × 4,600.25
  4. Step 4: Simplify right side
    8,377.64x = 53,184,640.31
  5. Step 5: Solve for x
    x = 53,184,640.31/8,377.64
  6. Step 6: Final answer
    x = 6,348.40

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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.