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Finding the Fourth Proportional to 10,726.98, 14,803.22 and 6,011.30

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Solution

The fourth proportional to 10,726.98, 14,803.22 and 6,011.30 is: 8,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.98 : 14,803.22 = 6,011.30 : x
  2. Step 2: Convert to fraction form
    10,726.98/14,803.22 = 6,011.30/x
  3. Step 3: Cross multiply
    10,726.98x = 14,803.22 × 6,011.30
  4. Step 4: Simplify right side
    10,726.98x = 88,986,492.31
  5. Step 5: Solve for x
    x = 88,986,492.31/10,726.98
  6. Step 6: Final answer
    x = 8,295.58

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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.