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Finding the Fourth Proportional to 12,292.70, 16,963.93 and 6,703.70

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Solution

The fourth proportional to 12,292.70, 16,963.93 and 6,703.70 is: 9,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.70 : 16,963.93 = 6,703.70 : x
  2. Step 2: Convert to fraction form
    12,292.70/16,963.93 = 6,703.70/x
  3. Step 3: Cross multiply
    12,292.70x = 16,963.93 × 6,703.70
  4. Step 4: Simplify right side
    12,292.70x = 113,721,021.10
  5. Step 5: Solve for x
    x = 113,721,021.10/12,292.70
  6. Step 6: Final answer
    x = 9,251.11

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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.