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Finding the Fourth Proportional to 7,705.56, 10,632.78 and 4,347.96

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Solution

The fourth proportional to 7,705.56, 10,632.78 and 4,347.96 is: 5,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.56 : 10,632.78 = 4,347.96 : x
  2. Step 2: Convert to fraction form
    7,705.56/10,632.78 = 4,347.96/x
  3. Step 3: Cross multiply
    7,705.56x = 10,632.78 × 4,347.96
  4. Step 4: Simplify right side
    7,705.56x = 46,230,902.13
  5. Step 5: Solve for x
    x = 46,230,902.13/7,705.56
  6. Step 6: Final answer
    x = 5,999.68

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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.