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Finding the Fourth Proportional to 6,971.31, 9,622.94 and 4,614.21

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Solution

The fourth proportional to 6,971.31, 9,622.94 and 4,614.21 is: 6,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.31 : 9,622.94 = 4,614.21 : x
  2. Step 2: Convert to fraction form
    6,971.31/9,622.94 = 4,614.21/x
  3. Step 3: Cross multiply
    6,971.31x = 9,622.94 × 4,614.21
  4. Step 4: Simplify right side
    6,971.31x = 44,402,242.91
  5. Step 5: Solve for x
    x = 44,402,242.91/6,971.31
  6. Step 6: Final answer
    x = 6,369.28

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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.