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Finding the Fourth Proportional to 9,205.30, 12,904.70 and 9,205.30

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Solution

The fourth proportional to 9,205.30, 12,904.70 and 9,205.30 is: 12,904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.30 : 12,904.70 = 9,205.30 : x
  2. Step 2: Convert to fraction form
    9,205.30/12,904.70 = 9,205.30/x
  3. Step 3: Cross multiply
    9,205.30x = 12,904.70 × 9,205.30
  4. Step 4: Simplify right side
    9,205.30x = 118,791,634.91
  5. Step 5: Solve for x
    x = 118,791,634.91/9,205.30
  6. Step 6: Final answer
    x = 12,904.70

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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.