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Finding the Fourth Proportional to 19,592.62, 27,038.01 and 10,640.20

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Solution

The fourth proportional to 19,592.62, 27,038.01 and 10,640.20 is: 14,683.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,592.62 : 27,038.01 = 10,640.20 : x
  2. Step 2: Convert to fraction form
    19,592.62/27,038.01 = 10,640.20/x
  3. Step 3: Cross multiply
    19,592.62x = 27,038.01 × 10,640.20
  4. Step 4: Simplify right side
    19,592.62x = 287,689,834.00
  5. Step 5: Solve for x
    x = 287,689,834.00/19,592.62
  6. Step 6: Final answer
    x = 14,683.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.