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Finding the Fourth Proportional to 5,965.38, 8,953.86 and 4,301.22

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Solution

The fourth proportional to 5,965.38, 8,953.86 and 4,301.22 is: 6,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.38 : 8,953.86 = 4,301.22 : x
  2. Step 2: Convert to fraction form
    5,965.38/8,953.86 = 4,301.22/x
  3. Step 3: Cross multiply
    5,965.38x = 8,953.86 × 4,301.22
  4. Step 4: Simplify right side
    5,965.38x = 38,512,521.71
  5. Step 5: Solve for x
    x = 38,512,521.71/5,965.38
  6. Step 6: Final answer
    x = 6,456.00

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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.