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Finding the Fourth Proportional to 7,090.45, 9,785 and 3,946.70

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Solution

The fourth proportional to 7,090.45, 9,785 and 3,946.70 is: 5,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.45 : 9,785 = 3,946.70 : x
  2. Step 2: Convert to fraction form
    7,090.45/9,785 = 3,946.70/x
  3. Step 3: Cross multiply
    7,090.45x = 9,785 × 3,946.70
  4. Step 4: Simplify right side
    7,090.45x = 38,618,459.50
  5. Step 5: Solve for x
    x = 38,618,459.50/7,090.45
  6. Step 6: Final answer
    x = 5,446.55

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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.