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Finding the Fourth Proportional to 8,493.84, 12,740.04 and 2,946.24

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Solution

The fourth proportional to 8,493.84, 12,740.04 and 2,946.24 is: 4,419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.84 : 12,740.04 = 2,946.24 : x
  2. Step 2: Convert to fraction form
    8,493.84/12,740.04 = 2,946.24/x
  3. Step 3: Cross multiply
    8,493.84x = 12,740.04 × 2,946.24
  4. Step 4: Simplify right side
    8,493.84x = 37,535,215.45
  5. Step 5: Solve for x
    x = 37,535,215.45/8,493.84
  6. Step 6: Final answer
    x = 4,419.11

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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.