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Finding the Fourth Proportional to 10,726.84, 14,803.04 and 6,011.15

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Solution

The fourth proportional to 10,726.84, 14,803.04 and 6,011.15 is: 8,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.84 : 14,803.04 = 6,011.15 : x
  2. Step 2: Convert to fraction form
    10,726.84/14,803.04 = 6,011.15/x
  3. Step 3: Cross multiply
    10,726.84x = 14,803.04 × 6,011.15
  4. Step 4: Simplify right side
    10,726.84x = 88,983,293.90
  5. Step 5: Solve for x
    x = 88,983,293.90/10,726.84
  6. Step 6: Final answer
    x = 8,295.39

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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.