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Finding the Fourth Proportional to 19,098.80, 28,646.04 and 5,246

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Solution

The fourth proportional to 19,098.80, 28,646.04 and 5,246 is: 7,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098.80 : 28,646.04 = 5,246 : x
  2. Step 2: Convert to fraction form
    19,098.80/28,646.04 = 5,246/x
  3. Step 3: Cross multiply
    19,098.80x = 28,646.04 × 5,246
  4. Step 4: Simplify right side
    19,098.80x = 150,277,125.84
  5. Step 5: Solve for x
    x = 150,277,125.84/19,098.80
  6. Step 6: Final answer
    x = 7,868.41

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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.