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Finding the Fourth Proportional to 12,411.70, 17,128.06 and 6,746.30

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Solution

The fourth proportional to 12,411.70, 17,128.06 and 6,746.30 is: 9,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.70 : 17,128.06 = 6,746.30 : x
  2. Step 2: Convert to fraction form
    12,411.70/17,128.06 = 6,746.30/x
  3. Step 3: Cross multiply
    12,411.70x = 17,128.06 × 6,746.30
  4. Step 4: Simplify right side
    12,411.70x = 115,551,089.25
  5. Step 5: Solve for x
    x = 115,551,089.25/12,411.70
  6. Step 6: Final answer
    x = 9,309.85

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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.