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Finding the Fourth Proportional to 12,706.71, 19,048.71 and 6,463.23

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Solution

The fourth proportional to 12,706.71, 19,048.71 and 6,463.23 is: 9,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.71 : 19,048.71 = 6,463.23 : x
  2. Step 2: Convert to fraction form
    12,706.71/19,048.71 = 6,463.23/x
  3. Step 3: Cross multiply
    12,706.71x = 19,048.71 × 6,463.23
  4. Step 4: Simplify right side
    12,706.71x = 123,116,193.93
  5. Step 5: Solve for x
    x = 123,116,193.93/12,706.71
  6. Step 6: Final answer
    x = 9,689.07

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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.