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Finding the Fourth Proportional to 7,673.76, 11,510.64 and 5,076.09

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Solution

The fourth proportional to 7,673.76, 11,510.64 and 5,076.09 is: 7,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.76 : 11,510.64 = 5,076.09 : x
  2. Step 2: Convert to fraction form
    7,673.76/11,510.64 = 5,076.09/x
  3. Step 3: Cross multiply
    7,673.76x = 11,510.64 × 5,076.09
  4. Step 4: Simplify right side
    7,673.76x = 58,429,044.60
  5. Step 5: Solve for x
    x = 58,429,044.60/7,673.76
  6. Step 6: Final answer
    x = 7,614.14

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1.5x scale

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.