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Finding the Fourth Proportional to 14,882.19, 22,321.75 and 7,483.64

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Solution

The fourth proportional to 14,882.19, 22,321.75 and 7,483.64 is: 11,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.19 : 22,321.75 = 7,483.64 : x
  2. Step 2: Convert to fraction form
    14,882.19/22,321.75 = 7,483.64/x
  3. Step 3: Cross multiply
    14,882.19x = 22,321.75 × 7,483.64
  4. Step 4: Simplify right side
    14,882.19x = 167,047,971.49
  5. Step 5: Solve for x
    x = 167,047,971.49/14,882.19
  6. Step 6: Final answer
    x = 11,224.69

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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.