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Finding the Fourth Proportional to 9,726, 14,588.19 and 2,800.50

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Solution

The fourth proportional to 9,726, 14,588.19 and 2,800.50 is: 4,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726 : 14,588.19 = 2,800.50 : x
  2. Step 2: Convert to fraction form
    9,726/14,588.19 = 2,800.50/x
  3. Step 3: Cross multiply
    9,726x = 14,588.19 × 2,800.50
  4. Step 4: Simplify right side
    9,726x = 40,854,226.10
  5. Step 5: Solve for x
    x = 40,854,226.10/9,726
  6. Step 6: Final answer
    x = 4,200.52

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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.