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Finding the Fourth Proportional to 8,205.60, 12,322.80 and 7,946.40

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Solution

The fourth proportional to 8,205.60, 12,322.80 and 7,946.40 is: 11,933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.60 : 12,322.80 = 7,946.40 : x
  2. Step 2: Convert to fraction form
    8,205.60/12,322.80 = 7,946.40/x
  3. Step 3: Cross multiply
    8,205.60x = 12,322.80 × 7,946.40
  4. Step 4: Simplify right side
    8,205.60x = 97,921,897.92
  5. Step 5: Solve for x
    x = 97,921,897.92/8,205.60
  6. Step 6: Final answer
    x = 11,933.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.