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Finding the Fourth Proportional to 7,658.09, 10,567.89 and 4,678.91

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Solution

The fourth proportional to 7,658.09, 10,567.89 and 4,678.91 is: 6,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.09 : 10,567.89 = 4,678.91 : x
  2. Step 2: Convert to fraction form
    7,658.09/10,567.89 = 4,678.91/x
  3. Step 3: Cross multiply
    7,658.09x = 10,567.89 × 4,678.91
  4. Step 4: Simplify right side
    7,658.09x = 49,446,153.36
  5. Step 5: Solve for x
    x = 49,446,153.36/7,658.09
  6. Step 6: Final answer
    x = 6,456.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.