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Finding the Fourth Proportional to 12,812.57, 17,681.33 and 7,223.57

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Solution

The fourth proportional to 12,812.57, 17,681.33 and 7,223.57 is: 9,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.57 : 17,681.33 = 7,223.57 : x
  2. Step 2: Convert to fraction form
    12,812.57/17,681.33 = 7,223.57/x
  3. Step 3: Cross multiply
    12,812.57x = 17,681.33 × 7,223.57
  4. Step 4: Simplify right side
    12,812.57x = 127,722,324.95
  5. Step 5: Solve for x
    x = 127,722,324.95/12,812.57
  6. Step 6: Final answer
    x = 9,968.52

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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.