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Finding the Fourth Proportional to 7,726.65, 10,650.33 and 6,045.36

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Solution

The fourth proportional to 7,726.65, 10,650.33 and 6,045.36 is: 8,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.65 : 10,650.33 = 6,045.36 : x
  2. Step 2: Convert to fraction form
    7,726.65/10,650.33 = 6,045.36/x
  3. Step 3: Cross multiply
    7,726.65x = 10,650.33 × 6,045.36
  4. Step 4: Simplify right side
    7,726.65x = 64,385,078.97
  5. Step 5: Solve for x
    x = 64,385,078.97/7,726.65
  6. Step 6: Final answer
    x = 8,332.86

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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.