Home / 9,827-14,742.93-3,253.85

Finding the Fourth Proportional to 9,827, 14,742.93 and 3,253.85

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Solution

The fourth proportional to 9,827, 14,742.93 and 3,253.85 is: 4,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827 : 14,742.93 = 3,253.85 : x
  2. Step 2: Convert to fraction form
    9,827/14,742.93 = 3,253.85/x
  3. Step 3: Cross multiply
    9,827x = 14,742.93 × 3,253.85
  4. Step 4: Simplify right side
    9,827x = 47,971,282.78
  5. Step 5: Solve for x
    x = 47,971,282.78/9,827
  6. Step 6: Final answer
    x = 4,881.58

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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.