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Finding the Fourth Proportional to 14,097.66, 19,454 and 7,723.07

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Solution

The fourth proportional to 14,097.66, 19,454 and 7,723.07 is: 10,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.66 : 19,454 = 7,723.07 : x
  2. Step 2: Convert to fraction form
    14,097.66/19,454 = 7,723.07/x
  3. Step 3: Cross multiply
    14,097.66x = 19,454 × 7,723.07
  4. Step 4: Simplify right side
    14,097.66x = 150,244,603.78
  5. Step 5: Solve for x
    x = 150,244,603.78/14,097.66
  6. Step 6: Final answer
    x = 10,657.41

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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.