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Finding the Fourth Proportional to 19,648.50, 29,478.24 and 6,510.12

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Solution

The fourth proportional to 19,648.50, 29,478.24 and 6,510.12 is: 9,767.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.50 : 29,478.24 = 6,510.12 : x
  2. Step 2: Convert to fraction form
    19,648.50/29,478.24 = 6,510.12/x
  3. Step 3: Cross multiply
    19,648.50x = 29,478.24 × 6,510.12
  4. Step 4: Simplify right side
    19,648.50x = 191,906,879.79
  5. Step 5: Solve for x
    x = 191,906,879.79/19,648.50
  6. Step 6: Final answer
    x = 9,767.00

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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.