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Finding the Fourth Proportional to 9,205.60, 12,447 and 9,205.60

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Solution

The fourth proportional to 9,205.60, 12,447 and 9,205.60 is: 12,447

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.60 : 12,447 = 9,205.60 : x
  2. Step 2: Convert to fraction form
    9,205.60/12,447 = 9,205.60/x
  3. Step 3: Cross multiply
    9,205.60x = 12,447 × 9,205.60
  4. Step 4: Simplify right side
    9,205.60x = 114,582,103.20
  5. Step 5: Solve for x
    x = 114,582,103.20/9,205.60
  6. Step 6: Final answer
    x = 12,447

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.