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Finding the Fourth Proportional to 7,090.50, 9,784.89 and 3,946.62

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Solution

The fourth proportional to 7,090.50, 9,784.89 and 3,946.62 is: 5,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.50 : 9,784.89 = 3,946.62 : x
  2. Step 2: Convert to fraction form
    7,090.50/9,784.89 = 3,946.62/x
  3. Step 3: Cross multiply
    7,090.50x = 9,784.89 × 3,946.62
  4. Step 4: Simplify right side
    7,090.50x = 38,617,242.57
  5. Step 5: Solve for x
    x = 38,617,242.57/7,090.50
  6. Step 6: Final answer
    x = 5,446.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.