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Finding the Fourth Proportional to 7,726.54, 11,567.88 and 6,479.94

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Solution

The fourth proportional to 7,726.54, 11,567.88 and 6,479.94 is: 9,701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.54 : 11,567.88 = 6,479.94 : x
  2. Step 2: Convert to fraction form
    7,726.54/11,567.88 = 6,479.94/x
  3. Step 3: Cross multiply
    7,726.54x = 11,567.88 × 6,479.94
  4. Step 4: Simplify right side
    7,726.54x = 74,959,168.33
  5. Step 5: Solve for x
    x = 74,959,168.33/7,726.54
  6. Step 6: Final answer
    x = 9,701.52

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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.