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Finding the Fourth Proportional to 9,902.71, 14,846.54 and 4,274.37

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Solution

The fourth proportional to 9,902.71, 14,846.54 and 4,274.37 is: 6,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.71 : 14,846.54 = 4,274.37 : x
  2. Step 2: Convert to fraction form
    9,902.71/14,846.54 = 4,274.37/x
  3. Step 3: Cross multiply
    9,902.71x = 14,846.54 × 4,274.37
  4. Step 4: Simplify right side
    9,902.71x = 63,459,607.85
  5. Step 5: Solve for x
    x = 63,459,607.85/9,902.71
  6. Step 6: Final answer
    x = 6,408.31

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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.