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Finding the Fourth Proportional to 13,098.59, 19,648.09 and 7,292.11

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Solution

The fourth proportional to 13,098.59, 19,648.09 and 7,292.11 is: 10,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.59 : 19,648.09 = 7,292.11 : x
  2. Step 2: Convert to fraction form
    13,098.59/19,648.09 = 7,292.11/x
  3. Step 3: Cross multiply
    13,098.59x = 19,648.09 × 7,292.11
  4. Step 4: Simplify right side
    13,098.59x = 143,276,033.57
  5. Step 5: Solve for x
    x = 143,276,033.57/13,098.59
  6. Step 6: Final answer
    x = 10,938.28

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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.