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Finding the Fourth Proportional to 31,065.42, 46,598.13 and 7,691.86

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Solution

The fourth proportional to 31,065.42, 46,598.13 and 7,691.86 is: 11,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.42 : 46,598.13 = 7,691.86 : x
  2. Step 2: Convert to fraction form
    31,065.42/46,598.13 = 7,691.86/x
  3. Step 3: Cross multiply
    31,065.42x = 46,598.13 × 7,691.86
  4. Step 4: Simplify right side
    31,065.42x = 358,426,175.73
  5. Step 5: Solve for x
    x = 358,426,175.73/31,065.42
  6. Step 6: Final answer
    x = 11,537.79

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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.