Home / 9,564.16-14,336-6,819.84

Finding the Fourth Proportional to 9,564.16, 14,336 and 6,819.84

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Solution

The fourth proportional to 9,564.16, 14,336 and 6,819.84 is: 10,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.16 : 14,336 = 6,819.84 : x
  2. Step 2: Convert to fraction form
    9,564.16/14,336 = 6,819.84/x
  3. Step 3: Cross multiply
    9,564.16x = 14,336 × 6,819.84
  4. Step 4: Simplify right side
    9,564.16x = 97,769,226.24
  5. Step 5: Solve for x
    x = 97,769,226.24/9,564.16
  6. Step 6: Final answer
    x = 10,222.46

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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.