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Finding the Fourth Proportional to 8,430.40, 11,633.92 and 4,653.79

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Solution

The fourth proportional to 8,430.40, 11,633.92 and 4,653.79 is: 6,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.40 : 11,633.92 = 4,653.79 : x
  2. Step 2: Convert to fraction form
    8,430.40/11,633.92 = 4,653.79/x
  3. Step 3: Cross multiply
    8,430.40x = 11,633.92 × 4,653.79
  4. Step 4: Simplify right side
    8,430.40x = 54,141,820.56
  5. Step 5: Solve for x
    x = 54,141,820.56/8,430.40
  6. Step 6: Final answer
    x = 6,422.21

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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.