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Finding the Fourth Proportional to 9,582, 14,373 and 2,656.50

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Solution

The fourth proportional to 9,582, 14,373 and 2,656.50 is: 3,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582 : 14,373 = 2,656.50 : x
  2. Step 2: Convert to fraction form
    9,582/14,373 = 2,656.50/x
  3. Step 3: Cross multiply
    9,582x = 14,373 × 2,656.50
  4. Step 4: Simplify right side
    9,582x = 38,181,874.50
  5. Step 5: Solve for x
    x = 38,181,874.50/9,582
  6. Step 6: Final answer
    x = 3,984.75

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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.