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Finding the Fourth Proportional to 7,227.07, 9,971.33 and 4,538.58

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Solution

The fourth proportional to 7,227.07, 9,971.33 and 4,538.58 is: 6,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.07 : 9,971.33 = 4,538.58 : x
  2. Step 2: Convert to fraction form
    7,227.07/9,971.33 = 4,538.58/x
  3. Step 3: Cross multiply
    7,227.07x = 9,971.33 × 4,538.58
  4. Step 4: Simplify right side
    7,227.07x = 45,255,606.36
  5. Step 5: Solve for x
    x = 45,255,606.36/7,227.07
  6. Step 6: Final answer
    x = 6,261.96

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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.