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Finding the Fourth Proportional to 12,706.40, 17,534.84 and 6,963.84

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Solution

The fourth proportional to 12,706.40, 17,534.84 and 6,963.84 is: 9,610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.40 : 17,534.84 = 6,963.84 : x
  2. Step 2: Convert to fraction form
    12,706.40/17,534.84 = 6,963.84/x
  3. Step 3: Cross multiply
    12,706.40x = 17,534.84 × 6,963.84
  4. Step 4: Simplify right side
    12,706.40x = 122,109,820.19
  5. Step 5: Solve for x
    x = 122,109,820.19/12,706.40
  6. Step 6: Final answer
    x = 9,610.10

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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.