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Finding the Fourth Proportional to 12,292.86, 16,964.12 and 6,703.86

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Solution

The fourth proportional to 12,292.86, 16,964.12 and 6,703.86 is: 9,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.86 : 16,964.12 = 6,703.86 : x
  2. Step 2: Convert to fraction form
    12,292.86/16,964.12 = 6,703.86/x
  3. Step 3: Cross multiply
    12,292.86x = 16,964.12 × 6,703.86
  4. Step 4: Simplify right side
    12,292.86x = 113,725,085.50
  5. Step 5: Solve for x
    x = 113,725,085.50/12,292.86
  6. Step 6: Final answer
    x = 9,251.31

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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.