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Finding the Fourth Proportional to 9,877.56, 14,814.78 and 2,950.44

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Solution

The fourth proportional to 9,877.56, 14,814.78 and 2,950.44 is: 4,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.56 : 14,814.78 = 2,950.44 : x
  2. Step 2: Convert to fraction form
    9,877.56/14,814.78 = 2,950.44/x
  3. Step 3: Cross multiply
    9,877.56x = 14,814.78 × 2,950.44
  4. Step 4: Simplify right side
    9,877.56x = 43,710,119.50
  5. Step 5: Solve for x
    x = 43,710,119.50/9,877.56
  6. Step 6: Final answer
    x = 4,425.19

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1.5x scale

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.