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Finding the Fourth Proportional to 6,530.74, 9,783.76 and 5,062.71

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Solution

The fourth proportional to 6,530.74, 9,783.76 and 5,062.71 is: 7,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.74 : 9,783.76 = 5,062.71 : x
  2. Step 2: Convert to fraction form
    6,530.74/9,783.76 = 5,062.71/x
  3. Step 3: Cross multiply
    6,530.74x = 9,783.76 × 5,062.71
  4. Step 4: Simplify right side
    6,530.74x = 49,532,339.59
  5. Step 5: Solve for x
    x = 49,532,339.59/6,530.74
  6. Step 6: Final answer
    x = 7,584.49

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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.