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Finding the Fourth Proportional to 12,411.70, 17,128.12 and 6,822.70

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Solution

The fourth proportional to 12,411.70, 17,128.12 and 6,822.70 is: 9,415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.70 : 17,128.12 = 6,822.70 : x
  2. Step 2: Convert to fraction form
    12,411.70/17,128.12 = 6,822.70/x
  3. Step 3: Cross multiply
    12,411.70x = 17,128.12 × 6,822.70
  4. Step 4: Simplify right side
    12,411.70x = 116,860,024.32
  5. Step 5: Solve for x
    x = 116,860,024.32/12,411.70
  6. Step 6: Final answer
    x = 9,415.31

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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.