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Finding the Fourth Proportional to 8,436.42, 11,642.10 and 4,659.49

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Solution

The fourth proportional to 8,436.42, 11,642.10 and 4,659.49 is: 6,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.42 : 11,642.10 = 4,659.49 : x
  2. Step 2: Convert to fraction form
    8,436.42/11,642.10 = 4,659.49/x
  3. Step 3: Cross multiply
    8,436.42x = 11,642.10 × 4,659.49
  4. Step 4: Simplify right side
    8,436.42x = 54,246,245.61
  5. Step 5: Solve for x
    x = 54,246,245.61/8,436.42
  6. Step 6: Final answer
    x = 6,430.01

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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.