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Finding the Fourth Proportional to 6,971.22, 9,615.24 and 4,732.38

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Solution

The fourth proportional to 6,971.22, 9,615.24 and 4,732.38 is: 6,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.22 : 9,615.24 = 4,732.38 : x
  2. Step 2: Convert to fraction form
    6,971.22/9,615.24 = 4,732.38/x
  3. Step 3: Cross multiply
    6,971.22x = 9,615.24 × 4,732.38
  4. Step 4: Simplify right side
    6,971.22x = 45,502,969.47
  5. Step 5: Solve for x
    x = 45,502,969.47/6,971.22
  6. Step 6: Final answer
    x = 6,527.26

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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.