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Finding the Fourth Proportional to 31,011.64, 46,516.92 and 7,637.92

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Solution

The fourth proportional to 31,011.64, 46,516.92 and 7,637.92 is: 11,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,011.64 : 46,516.92 = 7,637.92 : x
  2. Step 2: Convert to fraction form
    31,011.64/46,516.92 = 7,637.92/x
  3. Step 3: Cross multiply
    31,011.64x = 46,516.92 × 7,637.92
  4. Step 4: Simplify right side
    31,011.64x = 355,292,513.61
  5. Step 5: Solve for x
    x = 355,292,513.61/31,011.64
  6. Step 6: Final answer
    x = 11,456.75

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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.