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Finding the Fourth Proportional to 9,108.70, 12,778.10 and 9,108.70

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Solution

The fourth proportional to 9,108.70, 12,778.10 and 9,108.70 is: 12,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.70 : 12,778.10 = 9,108.70 : x
  2. Step 2: Convert to fraction form
    9,108.70/12,778.10 = 9,108.70/x
  3. Step 3: Cross multiply
    9,108.70x = 12,778.10 × 9,108.70
  4. Step 4: Simplify right side
    9,108.70x = 116,391,879.47
  5. Step 5: Solve for x
    x = 116,391,879.47/9,108.70
  6. Step 6: Final answer
    x = 12,778.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.