Home / 10,007.28-14,991.42-6,534

Finding the Fourth Proportional to 10,007.28, 14,991.42 and 6,534

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Solution

The fourth proportional to 10,007.28, 14,991.42 and 6,534 is: 9,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.28 : 14,991.42 = 6,534 : x
  2. Step 2: Convert to fraction form
    10,007.28/14,991.42 = 6,534/x
  3. Step 3: Cross multiply
    10,007.28x = 14,991.42 × 6,534
  4. Step 4: Simplify right side
    10,007.28x = 97,953,938.28
  5. Step 5: Solve for x
    x = 97,953,938.28/10,007.28
  6. Step 6: Final answer
    x = 9,788.27

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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.