Home / 7,024.08-10,533.84-6,564

Finding the Fourth Proportional to 7,024.08, 10,533.84 and 6,564

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Solution

The fourth proportional to 7,024.08, 10,533.84 and 6,564 is: 9,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.08 : 10,533.84 = 6,564 : x
  2. Step 2: Convert to fraction form
    7,024.08/10,533.84 = 6,564/x
  3. Step 3: Cross multiply
    7,024.08x = 10,533.84 × 6,564
  4. Step 4: Simplify right side
    7,024.08x = 69,144,125.76
  5. Step 5: Solve for x
    x = 69,144,125.76/7,024.08
  6. Step 6: Final answer
    x = 9,843.87

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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.