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Finding the Fourth Proportional to 7,193.40, 9,926.17 and 4,208.64

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Solution

The fourth proportional to 7,193.40, 9,926.17 and 4,208.64 is: 5,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.40 : 9,926.17 = 4,208.64 : x
  2. Step 2: Convert to fraction form
    7,193.40/9,926.17 = 4,208.64/x
  3. Step 3: Cross multiply
    7,193.40x = 9,926.17 × 4,208.64
  4. Step 4: Simplify right side
    7,193.40x = 41,775,676.11
  5. Step 5: Solve for x
    x = 41,775,676.11/7,193.40
  6. Step 6: Final answer
    x = 5,807.50

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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.