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Finding the Fourth Proportional to 7,341.96, 10,997.34 and 4,971.48

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Solution

The fourth proportional to 7,341.96, 10,997.34 and 4,971.48 is: 7,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.96 : 10,997.34 = 4,971.48 : x
  2. Step 2: Convert to fraction form
    7,341.96/10,997.34 = 4,971.48/x
  3. Step 3: Cross multiply
    7,341.96x = 10,997.34 × 4,971.48
  4. Step 4: Simplify right side
    7,341.96x = 54,673,055.86
  5. Step 5: Solve for x
    x = 54,673,055.86/7,341.96
  6. Step 6: Final answer
    x = 7,446.66

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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.