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Finding the Fourth Proportional to 8,196.80, 12,302.40 and 7,102.40

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Solution

The fourth proportional to 8,196.80, 12,302.40 and 7,102.40 is: 10,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.80 : 12,302.40 = 7,102.40 : x
  2. Step 2: Convert to fraction form
    8,196.80/12,302.40 = 7,102.40/x
  3. Step 3: Cross multiply
    8,196.80x = 12,302.40 × 7,102.40
  4. Step 4: Simplify right side
    8,196.80x = 87,376,565.76
  5. Step 5: Solve for x
    x = 87,376,565.76/8,196.80
  6. Step 6: Final answer
    x = 10,659.84

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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.