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Finding the Fourth Proportional to 29,206.56, 43,817.13 and 8,430.06

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Solution

The fourth proportional to 29,206.56, 43,817.13 and 8,430.06 is: 12,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206.56 : 43,817.13 = 8,430.06 : x
  2. Step 2: Convert to fraction form
    29,206.56/43,817.13 = 8,430.06/x
  3. Step 3: Cross multiply
    29,206.56x = 43,817.13 × 8,430.06
  4. Step 4: Simplify right side
    29,206.56x = 369,381,034.93
  5. Step 5: Solve for x
    x = 369,381,034.93/29,206.56
  6. Step 6: Final answer
    x = 12,647.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.