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Finding the Fourth Proportional to 21,046.15, 31,574.40 and 7,006.15

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Solution

The fourth proportional to 21,046.15, 31,574.40 and 7,006.15 is: 10,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.15 : 31,574.40 = 7,006.15 : x
  2. Step 2: Convert to fraction form
    21,046.15/31,574.40 = 7,006.15/x
  3. Step 3: Cross multiply
    21,046.15x = 31,574.40 × 7,006.15
  4. Step 4: Simplify right side
    21,046.15x = 221,214,982.56
  5. Step 5: Solve for x
    x = 221,214,982.56/21,046.15
  6. Step 6: Final answer
    x = 10,510.95

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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.