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Finding the Fourth Proportional to 7,658.91, 11,470.14 and 4,728.33

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Solution

The fourth proportional to 7,658.91, 11,470.14 and 4,728.33 is: 7,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.91 : 11,470.14 = 4,728.33 : x
  2. Step 2: Convert to fraction form
    7,658.91/11,470.14 = 4,728.33/x
  3. Step 3: Cross multiply
    7,658.91x = 11,470.14 × 4,728.33
  4. Step 4: Simplify right side
    7,658.91x = 54,234,607.07
  5. Step 5: Solve for x
    x = 54,234,607.07/7,658.91
  6. Step 6: Final answer
    x = 7,081.24

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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.