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Finding the Fourth Proportional to 19,907.70, 29,858.28 and 7,424.46

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Solution

The fourth proportional to 19,907.70, 29,858.28 and 7,424.46 is: 11,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.70 : 29,858.28 = 7,424.46 : x
  2. Step 2: Convert to fraction form
    19,907.70/29,858.28 = 7,424.46/x
  3. Step 3: Cross multiply
    19,907.70x = 29,858.28 × 7,424.46
  4. Step 4: Simplify right side
    19,907.70x = 221,681,605.53
  5. Step 5: Solve for x
    x = 221,681,605.53/19,907.70
  6. Step 6: Final answer
    x = 11,135.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.