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Finding the Fourth Proportional to 7,090.84, 9,784.98 and 4,106.44

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Solution

The fourth proportional to 7,090.84, 9,784.98 and 4,106.44 is: 5,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.84 : 9,784.98 = 4,106.44 : x
  2. Step 2: Convert to fraction form
    7,090.84/9,784.98 = 4,106.44/x
  3. Step 3: Cross multiply
    7,090.84x = 9,784.98 × 4,106.44
  4. Step 4: Simplify right side
    7,090.84x = 40,181,433.27
  5. Step 5: Solve for x
    x = 40,181,433.27/7,090.84
  6. Step 6: Final answer
    x = 5,666.67

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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.