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Finding the Fourth Proportional to 19,907.65, 27,473 and 10,955.14

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Solution

The fourth proportional to 19,907.65, 27,473 and 10,955.14 is: 15,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.65 : 27,473 = 10,955.14 : x
  2. Step 2: Convert to fraction form
    19,907.65/27,473 = 10,955.14/x
  3. Step 3: Cross multiply
    19,907.65x = 27,473 × 10,955.14
  4. Step 4: Simplify right side
    19,907.65x = 300,970,561.22
  5. Step 5: Solve for x
    x = 300,970,561.22/19,907.65
  6. Step 6: Final answer
    x = 15,118.34

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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.