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Finding the Fourth Proportional to 7,050, 10,579.68 and 6,437.52

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Solution

The fourth proportional to 7,050, 10,579.68 and 6,437.52 is: 9,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050 : 10,579.68 = 6,437.52 : x
  2. Step 2: Convert to fraction form
    7,050/10,579.68 = 6,437.52/x
  3. Step 3: Cross multiply
    7,050x = 10,579.68 × 6,437.52
  4. Step 4: Simplify right side
    7,050x = 68,106,901.59
  5. Step 5: Solve for x
    x = 68,106,901.59/7,050
  6. Step 6: Final answer
    x = 9,660.55

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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.