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Finding the Fourth Proportional to 31,304.67, 46,956.93 and 7,931.04

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Solution

The fourth proportional to 31,304.67, 46,956.93 and 7,931.04 is: 11,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,304.67 : 46,956.93 = 7,931.04 : x
  2. Step 2: Convert to fraction form
    31,304.67/46,956.93 = 7,931.04/x
  3. Step 3: Cross multiply
    31,304.67x = 46,956.93 × 7,931.04
  4. Step 4: Simplify right side
    31,304.67x = 372,417,290.11
  5. Step 5: Solve for x
    x = 372,417,290.11/31,304.67
  6. Step 6: Final answer
    x = 11,896.54

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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.