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Finding the Fourth Proportional to 9,206.55, 12,906.45 and 9,206.55

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Solution

The fourth proportional to 9,206.55, 12,906.45 and 9,206.55 is: 12,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.55 : 12,906.45 = 9,206.55 : x
  2. Step 2: Convert to fraction form
    9,206.55/12,906.45 = 9,206.55/x
  3. Step 3: Cross multiply
    9,206.55x = 12,906.45 × 9,206.55
  4. Step 4: Simplify right side
    9,206.55x = 118,823,877.25
  5. Step 5: Solve for x
    x = 118,823,877.25/9,206.55
  6. Step 6: Final answer
    x = 12,906.45

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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.