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Finding the Fourth Proportional to 10,726.79, 14,803.77 and 6,751.31

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Solution

The fourth proportional to 10,726.79, 14,803.77 and 6,751.31 is: 9,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.79 : 14,803.77 = 6,751.31 : x
  2. Step 2: Convert to fraction form
    10,726.79/14,803.77 = 6,751.31/x
  3. Step 3: Cross multiply
    10,726.79x = 14,803.77 × 6,751.31
  4. Step 4: Simplify right side
    10,726.79x = 99,944,766.42
  5. Step 5: Solve for x
    x = 99,944,766.42/10,726.79
  6. Step 6: Final answer
    x = 9,317.31

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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.