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Finding the Fourth Proportional to 15,472.65, 23,212.74 and 4,942.66

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Solution

The fourth proportional to 15,472.65, 23,212.74 and 4,942.66 is: 7,415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,472.65 : 23,212.74 = 4,942.66 : x
  2. Step 2: Convert to fraction form
    15,472.65/23,212.74 = 4,942.66/x
  3. Step 3: Cross multiply
    15,472.65x = 23,212.74 × 4,942.66
  4. Step 4: Simplify right side
    15,472.65x = 114,732,565.42
  5. Step 5: Solve for x
    x = 114,732,565.42/15,472.65
  6. Step 6: Final answer
    x = 7,415.19

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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.