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Finding the Fourth Proportional to 6,533.52, 9,801.90 and 1,916.52

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Solution

The fourth proportional to 6,533.52, 9,801.90 and 1,916.52 is: 2,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.52 : 9,801.90 = 1,916.52 : x
  2. Step 2: Convert to fraction form
    6,533.52/9,801.90 = 1,916.52/x
  3. Step 3: Cross multiply
    6,533.52x = 9,801.90 × 1,916.52
  4. Step 4: Simplify right side
    6,533.52x = 18,785,537.39
  5. Step 5: Solve for x
    x = 18,785,537.39/6,533.52
  6. Step 6: Final answer
    x = 2,875.26

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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.