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Finding the Fourth Proportional to 7,123.44, 9,829.81 and 4,290.22

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Solution

The fourth proportional to 7,123.44, 9,829.81 and 4,290.22 is: 5,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.44 : 9,829.81 = 4,290.22 : x
  2. Step 2: Convert to fraction form
    7,123.44/9,829.81 = 4,290.22/x
  3. Step 3: Cross multiply
    7,123.44x = 9,829.81 × 4,290.22
  4. Step 4: Simplify right side
    7,123.44x = 42,171,985.68
  5. Step 5: Solve for x
    x = 42,171,985.68/7,123.44
  6. Step 6: Final answer
    x = 5,920.17

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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.