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Finding the Fourth Proportional to 14,882.78, 22,313.24 and 7,097.06

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Solution

The fourth proportional to 14,882.78, 22,313.24 and 7,097.06 is: 10,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.78 : 22,313.24 = 7,097.06 : x
  2. Step 2: Convert to fraction form
    14,882.78/22,313.24 = 7,097.06/x
  3. Step 3: Cross multiply
    14,882.78x = 22,313.24 × 7,097.06
  4. Step 4: Simplify right side
    14,882.78x = 158,358,403.07
  5. Step 5: Solve for x
    x = 158,358,403.07/14,882.78
  6. Step 6: Final answer
    x = 10,640.38

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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.