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Finding the Fourth Proportional to 31,023.28, 46,534.18 and 9,963.28

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Solution

The fourth proportional to 31,023.28, 46,534.18 and 9,963.28 is: 14,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,023.28 : 46,534.18 = 9,963.28 : x
  2. Step 2: Convert to fraction form
    31,023.28/46,534.18 = 9,963.28/x
  3. Step 3: Cross multiply
    31,023.28x = 46,534.18 × 9,963.28
  4. Step 4: Simplify right side
    31,023.28x = 463,633,064.91
  5. Step 5: Solve for x
    x = 463,633,064.91/31,023.28
  6. Step 6: Final answer
    x = 14,944.68

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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.